Q_M
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Really glad the SDT questions have helped people out (23, 000 views!) but does anyone know where the answers have gone to these? I know when I posted the questions up originally we were all working though them and ended up with all the answers (after some debate!).

Few people have been asking me where the answers are and I can't find them. Anyone got any ideas? Would just help a few people out.

Cheers

Q_M
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TyphoonFighter
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I was going to ask about that one, actually.
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Theo1977
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I'll do the answers again this week and post them by the end of the weekend, if that would be helpful.
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Q_M
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(Original post by Theo1977)
I'll do the answers again this week and post them by the end of the weekend, if that would be helpful.
Legend as always dude
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Theo1977
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Okay - I got back from three hours of gym / football training / cycling this evening to remember that I hadn't done these (or the baking that I have to do for a charity sale tomorrow... ... oops!) Soooo ... in the circumstances, I suggest it might be a good idea for someone to have a look over these. Once we're happy with them, I'll post them in a special "SDT Answers" thread, so people can find them easily even if they need to do a search!

All corrections welcome (although not as welcome as messages confirming I've got them all right! )

OASC Numerical Reasoning - ANSWERS

Numbers have been rounded to the nearest whole number. At OASC, you are unlikely to get any numbers than do not divide exactly.

You burn 25kgs of fuel per minute. How much fuel do you burn per hour?
=1500

You burn 30kgs of fuel per minute. How much do you use in 45 minutes?
=1350

You burn 30kgs of fuel per hour. How much do you use in 15 minutes?
=7.5

You burn 400kgs of fuel per hour. How much do you burn in 20 minutes?
=133kg (NOTE: You won’t get questions like this at OASC. In a question like this, it would be more like 405kg of fuel, which divides easily to give you 135kg in 20 minutes.)

You burn 380kgs of fuel per hour. How much do you burn in 1 hour 20 minutes?
=506kg (NOTE: You won’t get questions like this at OASC. In a question like this, it would be more like 390kg of fuel, which divides easily to give you 520kg in one hour 10 minutes.)

You burn 20kgs of fuel per minute. How much do you burn in 1 hour 50 minutes?
=2200kg

You burn 5kgs of fuel per minute. How much do you use in 2 hours 15 minutes?
=675kg

You burn 150kgs of fuel per hour. How much do you burn in 10 minutes?
=25kg

You have used 280kgs of fuel in the past 80 minutes. How much do you burn per hour?
=210kg

You travel 330 miles. How much have you used if you burn 160kgs an hour, if you are travelling at 220mph?
=240kg

You travel an average speed of 280kts. How much fuel do you need for a 70 mile trip, if you burn 140kgs per hour?
=35kg

You travel 120 miles in 45 minutes. How much fuel have you used if you burn 200kgs per hour?
=150kg

You are burning 4kgs of fuel per minute. How much fuel will you need for a 220 mile trip if you average 150mph?
=352kg

You are facing north. You turn 90 degrees to your left, then 180 to your right and 270 to your left again. Which way are you facing?
=SOUTH

You are facing south. You turn 270 degrees to your right, then 90 degrees to your left and 180 degrees to your left. Which way are you facing?
=SOUTH

You are facing west. You turn 180 degrees to your left and 270 degrees to your right, 90 to your left, 180 to your right. And then another 270 degrees to your right. Which way are you facing?
=NORTH

You are facing east. You turn 360 degrees to your right, 90 degrees to your right again, 270 degrees to your left and 190 to your right. Which way are you facing?
=EAST (NOTE: Assume 190 to be a typo and work to 180 – again, the numbers will all work easily at OASC)

You are facing north. You turn 90 degrees to your left, 180 to your right and 90 back to your left and finally 270 degrees back to your right. Which way are you facing?
=WEST

You are facing north. You turn 270 degrees to your left and then another 180 degrees to your left and then 270 back to your right. Which way are you facing?
=SOUTH

You are called to an airbase 210 miles away. How long will it take you to get there if you travel at 175mph?
=1 hour 15 minutes

You are called to an airbase at19:27. The base is 45 miles away and you are travelling in the opposite direction assuming you are travelling at 180mph and it will take 5 minutes to turn, how long will it take to get to the base?
=20 minutes (NOTE: Assuming the five minutes to turn returns you to the point at which you received the call. Also note that the timing is an irrelevant piece of information is this question, put there to confuse you!)

You arrive at 18:30 after leaving at 16:45. How far have you come if you averaged 300mph?
=525 miles

You leave at 08:15 and arrive at 09:30. What speed have you been travelling if the journey was 250 miles away?
=200mph

You leave at 17:00 and arrive at 19:30. What speed have you been doing if the journey was 120 miles away?
=48mph

You travel 30 miles in 4 minutes. How fast are you going?
=450mph

You are travelling at 90mph. How far do you go in 6 minutes?
=9 miles

You are travelling at 280mph. How far will you go in 45 minutes?
=210 miles

You reach your destination in 50 minutes, You travelled an average speed of 360mph. How far is it?
=300 miles

You travel 600 miles in 1.5 hours. How fast are you going?
=400mph

You travel 480 miles in 20 minutes. How fast are you going?
=1440mph

It takes 45 minutes to travel 90 minutes. How far will you go in 1.5 hours and how fast are your going?
=You’re travelling at 120mph, and will travel 180 miles in an hour and a half. (NOTE: 90 minutes should be 90 miles – it’s a typo.)

You leave your base at 09:42 and travel 135 miles north to your destination. You average 180mph, what time do you arrive?
=10:27

You arrive at your designation at 00:13. You travelled 450 miles at an average speed of 300mph. What time did you leave?
=22:43

You average 300mph, how far did you go in 50 minutes?
=250 miles

At 280mph how far did you go in 2 hours 6 minutes?
=588 miles

You leave your base at 14:52 and arrive at your destination at 17:07. You averaged 320mph. How far is it?
=720 miles

You arrive at your destination at 19:22. You have been travelling for 3 hours 40 minutes and have been travelling at 90mph. What did you leave and how far have you come?
= You left at 15:42. You have travelled 330 miles.

You leave at 01:57 and arrive at 03:39. How long have you been travelling?
=1 hour 42 minutes

You leave at 15:53 and arrive at 05:48. How long have you been travelling?
=13 hours 41 minutes

You arrive at 15:13 and you left at 11:20. How long have you been travelling?
=3 hours 53 minutes

You arrive at 17:00 and you left at 14:39. How long have you been travelling?
=2 hours 21 minutes

You travel for 77 minutes. What time will you arrive if you leave at 13:59?
=15:16

You travel for 1 hour 51 minutes. What time will you arrive if you are leaving at 18:40?
=20:31

You leave at 06:00 and arrive at 09:57. How long have you been travelling?
=3 hours 57 minutes

You leave at 10:49 and arrive at 00:18 How long have you been travelling?
=13 hours 29 minutes

You arrive at 19:36 and you left at 14:19. How long have you been travelling?
=5 hours 17 minutes

You arrive at 16:40 and you left at 13:20. How long have you been travelling?
=3 hours 20 minutes

If you travel for 90 minutes after leaving at 17:38, what time will you arrive?
=19:08

You travel for 2 hours 8 minutes. What time did you leave if you arrive at 09:17?
=07:09

You travel for 11 minutes. What time will you arrive if you left at 05:30?
=05:41

You arrive at 12:50, what time did you leave if you travelled for 49 minutes?
=12:01

You left at 08:00 and arrived at 09:33. How long have you travelled?
= 93 minutes / 1 hour 33 minutes

You arrive at 22:18 and you left at 13:09. How long have you been travelling?
=9 hours 9 minutes

You leave 01:03 and arrive at 04:40. How long have you travelled?
=3 hours 37 minutes

You travel for 2 hours and 58 minutes. What time did you leave if you arrived at 19:40?
=16:42

You have two legs to your journey. One takes 73 minutes, the other 48 minutes. What time did you leave if you arrived at 05:30?
=03:29

You have three legs to your journey. The first takes 1 hour and 27 minutes, the next takes 13 minutes, and the last leg takes 2 hours and 11 minutes. What time did you leave if you arrive at 16:05?
=12:14

You have had four legs to your journey. One takes 14 minutes, the next takes 44 minutes, the next takes 2 hours 53 minutes and the final leg takes 17 minutes. What time will you arrive if you leave at 07:55 hours assuming you have a 5 minute break between each leg?
=12:18

You leave at 03:42 and arrive at 07:55. How long have you been travelling?
=4 hours 13 minutes

It takes 20 minutes for you to prep your aircraft and get it airborne. At 14:40 you are told to leave immediately for a refuelling sortie. You must reach location A in 40 minutes to refuel two jets. Location A is 180 miles away. The two jets will need 400Ibs of fuel each and your aircraft burns 800Ibs of fuel an hour. Each aircraft will take 10 minutes to refuel.

A) What speed must you travel to arrive on time,
=540mph

B) How much fuel will you need
=1600lbs (Assuming constant speed throughout, also assuming you circle at Location A to refuel the jets and do not go further from base than this point)

C) What time will you land back at base?
=1600 (Assumptions as above)

Peter gives you a call and asks to be dropped off at RAF Valley. You must pick him up from RAF Oddiham, which is 95 miles away and drop him off at his destination, which is a further 395 miles away. You receive the call at 17:39 and you are airborne 36 minutes later. What speed must you average if you are to get him to RAF Valley on time for the party at 20:00.
=280mph (Assuming zero time for pick up at Odiham)

You are due to pick up Si Peter Squire from his favourite bowling green in the Arabian dessert at 09:50. Your base is 480 miles away and it will take exactly 20 minute to get airborne. Assuming it takes 13 minutes to load Peter Squires balls into the aircraft, what time should you arrive back at base and what average speed much you maintain if you get the call at 07:30?
=You must travel at 240mph. You arrive back at 12:03 (NOTE: This assumes no twenty minute delay on the return leg. It also assumes constant speed on both legs)

You burn 1200IBs of fuel an hour travelling at 360kts. How much fuel will you need to travel 780 miles?
=2520lbs

You travel 70 miles on your first leg, 240 miles on your next leg and 80 miles on your last leg. What speed are you doing if it takes you 1 hour and 20 minutes?
=293mph (NOTE: As above, you are unlikely to get these numbers. Try doing this sum with legs 75, 240 and 85 miles long, giving a total journey of 400 miles and a speed of 300mph.)

How fast are you going if you ravel 40 miles in 5 minutes?
=480mph

How fast are you going if you travel 2 miles in 30 seconds?
=240mph

How long will it take to cover 690 miles if you are travelling at 115mph?
=6 hours

How long will it take to travel 70 miles if you are travelling at 210mph?
=20 minutes

How far will you travel at 330mph for 40 minutes?
=220 miles

How far will you travel at 4mph for 15 minutes?
=1mile

How fast are you going if you travel at 180 miles in 1 hour 20 minutes?
=135mph

How long will it take to cover 90 miles if you travel at 320mph?
=17 minutes (NOTE: Another unlikely sum. You are more likely to cover 80 miles, or travel at 360mph, for example)

How far will you travel if you are doing 70mph for 15 minutes
=17.5

Thanks to InaSpin for the next section.

What speed covers 175 miles in 2 hours and 30 mins?
=70mph

At 28 mph, how far do you travel in 1 hour and 30 mins?
=42 miles

At 7 mph, how far do you travel in 2 hours?
=14 miles

At 80 mph, how long does it take to travel 36 miles?
=27 minutes

At 12 mph, how far do you travel in 20 mins?
=4 miles

At 5 mph, how long does it take to travel 18 miles?
=3 hours 36 minutes

At 68 mph, how long does it take to travel 136 miles?
=2 hours

At 195 mph, how far do you travel in 1 hour and 4 mins?
=208 miles

At 40 mph, how far do you travel in 24 mins?
=16 miles

What speed covers 17 miles in 51 mins?
= 20mph

What speed covers 84 miles in 3 hours?
=28mph

What speed covers 4 miles in 40 mins?
=6mph

What speed covers 70 miles in 2 hours and 30 mins?
=28mph

What speed covers 15 miles in 36 mins?
=25mph

At 2 mph, how long does it take to travel 18 miles?
=9 hours

What speed covers 4 miles in 24 mins?
=10mph

What speed covers 48 miles in 30 mins?
=96mph

At 15 mph, how long does it take to travel 3 miles?
=12 minutes

At 8 mph, how far do you travel in 10 hours?
=80 miles

At 80 mph, how long does it take to travel 84 miles?
=1 hour 3 minutes

At 22 mph, how long does it take to travel 22 miles?
=1 hour

At 5 mph, how long does it take to travel 51 miles?
=10 hours 12 minutes

At 4 mph, how far do you travel in 2 hours and 15 mins?
=9 miles

At 30 mph, how long does it take to travel 60 miles?
=2 hours

What speed covers 6 miles in 3 hours?
=2mph

What speed covers 54 miles in 30 mins?
=108 miles

At 55 mph, how far do you travel in 12 mins?
=11 miles

At 14 mph, how far do you travel in 1 hour?
=14 miles

At 20 mph, how long does it take to travel 19 miles?
=57 minutes

At 17 mph, how long does it take to travel 17 miles?
=1 hour

At 6 mph, how far do you travel in 1 hour and 20 mins?
=8 miles

At 13 mph, how far do you travel in 1 hour?
=13 miles

At 66 mph, how far do you travel in 1 hour?
=66 miles

At 10 mph, how far do you travel in 4 hours and 48 mins?
=48 miles

At 25 mph, how long does it take to travel 15 miles?
=36 minutes

At 8 mph, how long does it take to travel 16 miles?
=2 hours

At 30 mph, how far do you travel in 1 hour and 44 mins?
=52 miles

What speed covers 5 miles in 5 hours?
=1mph

At 130 mph, how long does it take to travel 52 miles?
=24 minutes

At 2 mph, how long does it take to travel 13 miles?
=6 hours 30 minutes

At 120 mph, how long does it take to travel 36 miles?
=18 minutes

At 120 mph, how far do you travel in 15 mins?
=30 miles
At 30 mph, how long does it take to travel 8 miles?
=16 minutes

At 5 mph, how far do you travel in 2 hours and 24 mins?
=12 miles

What speed covers 6 miles in 2 hours?
=3mph

At 15 mph, how long does it take to travel 16 miles?
=64 minutes

What speed covers 84 miles in 30 mins?
=168mph

At 16 mph, how far do you travel in 3 hours?
=48mph

At 7 mph, how long does it take to travel 7 miles?
=1 hour

What speed covers 7 miles in 30 mins?
=14mph

At 1 mph, how far do you travel in 10 hours?
=10 miles

At 9 mph, how far do you travel in 40 mins?
=6 miles

At 3 mph, how far do you travel in 4 hours?
=12 miles

At 12 mph, how far do you travel in 1 hour and 25 mins?
=17 miles

What speed covers 6 miles in 10 mins?
=36mph

At 4 mph, how long does it take to travel 45 miles?
=11 hours 15 minutes

What speed covers 240 miles in 80 hours?
=3mph

What speed covers 34 miles in 40 mins?
=51mph

What speed covers 65 miles in 1 hour?
=65mph

At 19 mph, how long does it take to travel 19 miles?
=1 hour

What speed covers 60 miles in 50 mins?
=72mph

At 8 mph, how long does it take to travel 8 miles?
=1 hour

At 5 mph, how long does it take to travel 5 miles?
=1 hour

At 18 mph, how long does it take to travel 30 miles?
=1 hour 40 minutes

At 304 mph, how far do you travel in 1 hour and 15 mins?
=380 miles

What speed covers 34 miles in 40 mins?
=51mph

At 20 mph, how far do you travel in 27 mins?
=9 miles

What speed covers 40 miles in 3 hours and 20 mins?
=12mph

At 80 mph, how long does it take to travel 48 miles?
=36 minutes

What speed covers 1 miles in 3 mins?
=20mph

At 3 mph, how far do you travel in 5 hours and 40 mins?
=17 miles

At 18 mph, how long does it take to travel 42 miles?
=2 hours 20 minutes

At 104 mph, how long does it take to travel 104 miles?
=1 hour

At 162 mph, how long does it take to travel 135 miles?
=50 minutes

What speed covers 16 miles in 8 hours?
=2mph

What speed covers 6 miles in 15 mins?
=24mph

What speed covers 12 miles in 48 mins?
=15mph

At 95 mph, how far do you travel in 1 hour and 12 mins?
=114 miles

What speed covers 13 miles in 13 hours?
=1mph

What speed covers 16 miles in 12 mins?
=80mph

At 12 mph, how far do you travel in 2 hours and 40 mins?
=32 miles

What speed covers 85 miles in 3 hours and 24 mins?
=25mph

At 11 mph, how long does it take to travel 44 miles?
=4 hours

What speed covers 72 miles in 7 hours and 12 mins?
=10mph

At 36 mph, how far do you travel in 1 hour?
=36 miles

At 30 mph, how long does it take to travel 70 miles?
=2 hours 20 minutes

What speed covers 176 miles in 4 hours?
= 44mph

At 3 mph, how long does it take to travel 3 miles?
=1 hour

What speed covers 64 miles in 48 mins?
=80 mph

What speed covers 18 miles in 18 hours?
=1mph
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TyphoonFighter
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Ah Theo, You're a star! Thanks so much!!
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Sam-J-J
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Bravo Theo, here's hoping that call comes from the AFCO soon!!!
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Q_M
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Your a good egg Theo.
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Sam-J-J
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Oh and I almost forgot.

+ rep!
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Theo1977
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Thanks, sweetie!
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Sam-J-J
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(Original post by Theo1977)
You are called to an airbase 210 miles away. How long will it take you to get there if you travel at 175mph?
=1 hour 15 minutes - 1hr 12 mins?

It takes 20 minutes for you to prep your aircraft and get it airborne. At 14:40 you are told to leave immediately for a refuelling sortie. You must reach location A in 40 minutes to refuel two jets. Location A is 180 miles away. The two jets will need 400Ibs of fuel each and your aircraft burns 800Ibs of fuel an hour. Each aircraft will take 10 minutes to refuel.

A) What speed must you travel to arrive on time,
=540mph - 270mph?

B) How much fuel will you need
=1600lbs (Assuming constant speed throughout, also assuming you circle at Location A to refuel the jets and do not go further from base than this point) - 2400lbs. Also assumes that the fuel is required/engine is running in the 20 minute prep period. Also need to take into account the 800lbs required by the other aircraft

C) What time will you land back at base?
=1600 (Assumptions as above) - 16:40, including the 40 min return journey also.

You burn 1200IBs of fuel an hour travelling at 360kts. How much fuel will you need to travel 780 miles?
=2520lbs - 2,600lbs?

After desperately trying to avoid X-Factor for another Sunday evening, I found myself going over the SDT4Dummies questions.

Does anybody agree with my corrections to the answers above? (in bold and italic?)

If not, I'll go back and re-think!




"What's that? Lloyd has been kicked off? Oh OK, I'll come and find you when I give a..."
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Dave_Cos
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i'll agree with the big one, i put both answers. the wording phrases it funny
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Darren82
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I was going through those questions today, and actually ended up getting caught up with the same question you have just changed the answers too(involving the refuelling of aircraft)

Tell us how you got your new answers?
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DannyBoy123
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Cheers for this, really useful as SDT calcs are the thing I'm most worried about at OASC.
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Mj86
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You are called to an airbase 210 miles away. How long will it take you to get there if you travel at 175mph?

For this one, first I realised that you can't really divide 210 and 175 by the same factor to get a whole number for both. First I tried by just rounding the 175 to a number that I could divide down into whole numbers so I rounded it to 180, because 210 / 3 is 70 and 180 / 3 is 60. So 70/60 is 70 minutes because 60 is 1 whole of 1 hour. Then I decided to try make it a bit more accurate by using a different method so...

I looked at the numbers and saw that youre at least going to travel 175 miles, because obviously 210 miles is further than this so its going to take over an hour to complete the 210 miles. So I removed 1 hour of travel by removing 175 miles, so 210 - 175 = 35 miles to be completed at 175mph.

That leaves us with 35/175 and 35 goes into 175 5 times, so 35/175 is 0.2. 0.2 is 1/5 so now we need to look at how many times 5 goes into 60 minutes, the answer is 12.

So now its just a case of adding the hour we removed before, so 60 + 12 = 72 minutes which is 1 hour 12 minutes.

I really don't know if anyone can understand what I just said haha but I had a bit of trouble with this one too, i'm new to learning SDTS and it took me some time to get it in my own head, so if this helps anyone else that's good )))
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threeportdrift
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(Original post by Mj86)
...sums...
Yup, that's the way to do it. As soon as the distance is a larger number than the speed figure, you know it is going to take more than an hour. So work out the hours first, by using your 60 times table (same as your 6 times table which you learnt when you were 6!). Then just deal with the remainder.
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neildo
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(Original post by Theo1977)
You leave at 15:53 and arrive at 05:48. How long have you been travelling?
=13 hours 41 minutes
Would i be right in saying that you've travelled 13hrs 55mins, not 41mins?

10pm on a Saturday night, 12 people in the living room getting smashed and heading out and here i am doing SDT, will be worth it though
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neildo
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(Original post by Sam-J-J)
Originally Posted by Theo1977
You are called to an airbase 210 miles away. How long will it take you to get there if you travel at 175mph?
=1 hour 15 minutes - 1hr 12 mins? - Agreed

It takes 20 minutes for you to prep your aircraft and get it airborne. At 14:40 you are told to leave immediately for a refuelling sortie. You must reach location A in 40 minutes to refuel two jets. Location A is 180 miles away. The two jets will need 400Ibs of fuel each and your aircraft burns 800Ibs of fuel an hour. Each aircraft will take 10 minutes to refuel.

A) What speed must you travel to arrive on time,
=540mph - 270mph? - Agreed:

180miles in 40, divide 180 by 2 and times answer by three to make up to mph...180/2 = 90, 90*3 = 270mph

B) How much fuel will you need
=1600lbs (Assuming constant speed throughout, also assuming you circle at Location A to refuel the jets and do not go further from base than this point) - 2400lbs. Also assumes that the fuel is required/engine is running in the 20 minute prep period. Also need to take into account the 800lbs required by the other aircraft

Silly question IMO as it doesn't state if it is how much fuel for complete journey, or journey to A and for the refuel...assuming full journey thats 20mins prep + 40mins there + 20mins refuelling + 40mins back = 2 hours = (2*800) + 800 for other jets = 2400lbs Agreed


C) What time will you land back at base?
=1600 (Assumptions as above) - 16:40, including the 40 min return journey also. Agreed 20 min prep = 1500, 40min journey+20 mins refuelling = 1600, 40 min return journey from A = 1640

You burn 1200IBs of fuel an hour travelling at 360kts. How much fuel will you need to travel 780 miles?
=2520lbs - 2,600lbs?
Agreed, i did this...2*360=720, therefore 2 hours with 60miles remaning. 60/360=1/6...of an hour=10mins....thus 2hr 10. 2*1200=2400 + (1200/6) = 2600lbs

Someone wanted to see the answers and i'm bored so there you go! :woo:
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neildo
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To be honest not sure what happened to the quote and my formatting, don't know what i was aiming for but there you go :facepalm:
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Stephy2985
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Going to OASC on tuesday (it's here all of a sudden). general mental maths is good but still not 100% sure about 'knots' as a speed calculation. I've googled this and asked friends and even my trusty dictionary is vague. I'v ehad all sorts of answers from 'Treat it as mph' to '1 knot = 1.6mph on the ground'. The internet seems to give differing responses, depending on whether it's the US or the UK under discussion.

Most practice Qs I've done involve mph but I don't want to take any chances!

Thanks in advance for any help.
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