unsolved national maths contest-1995 question. Watch

akiromuchi
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#101
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#101
(Original post by OCC++)
no please be very careful with your variables.
obviously x= distance after 80 miles.
therefore for the 2nd hire, cost of travelling for first 80miles is itself a fixed cost, like the 60 $
So, the equation is like this?
50 + x = 60 + 40 + 0.5x
x= 100
Why do we need to add 80 to it to become 180 ?
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OCC++
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#102
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#102
have u forgotten ur variable x again?
x=distance after 1st 80 miles travelled.
ans ask for total miles travelled :cool:
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akiromuchi
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#103
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#103
Another question
The roller coaster at Blue Top Towers Park runs continuously from 10.00 am to 6.00 pm
during the week and from 9.00 am to 7.00 pm at weekends.
Each ride lasts for 3 minutes.
It can take up to 5 minutes to unload and reload between rides at busy periods, but even
when the park is quiet there is a 2 minute gap between the end of one ride and the beginning of the next
What is the maximum number of rides there can be in one day?
A 60

B 75

C 96

D 120

E 200
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OCC++
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#104
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#104
i think the ans is 120.

maximun ride per day.
think, should u use the time for weekday or weedend?
next, should u assume that there are always busy periods or none?
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akiromuchi
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#105
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#105
(Original post by OCC++)
i think the ans is 120.

maximun ride per day.
think, should u use the time for weekday or weedend?
next, should u assume that there are always busy periods or none?
Assume that it is a weekend.
There are ten hours.(10x 60minutes)/(5+2+3)= 60 rides
Why your answer is 120?
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akiromuchi
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#106
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#106
Anyway,I have another questions

1.On the M53 is a sign 'Warrington 20'. Just over half a mile further on is another sign
'Warrington 19'.
This is not really surprising, since the distances are rounded to the nearest whole number of miles e.g. numbers of 4.5 and over but less than 5 become 5,
numbers of 4 and over but less than 4.5 become 4. Half a mile futher along

The distance to Warrington must now be between

A 17.5 miles and 17.6 miles

B 17.6 miles and 18.0 miles

C 18.0 miles and 18.2 miles

D 18.2 miles and 18.4 miles

E 18.4 miles and 18.5 miles

The answer given is E.Do not understand why the difference is 0.1miles.Shouldn't it be 1 miles?In my understanding,0.5 miles is the largest diffence between two signs,aren't three signs and two difference means 1 miles?


2.My mother still makes tea with the old saying:

"one spoon per person and one for the pot".
We used to buy a packet of tea every week but since grandmother came to live with us
we have to buy two packets every fifth week and one otherwise.
How many people were at home before grandmother arrived?

A 4

B 5

C 6

D 9

E 11

Do not know how to start with......

3.Three lighthouses are visible from the promenade at Rivermouth. One flashes every 1?
minutes, another flashes every 2 minutes, and the third flashes every 50 seconds.
All three have just flashed at the same time.

How long will it be before they all flash at the same time again?
A 6.0 minutes
B 7.5 minutes

C 10.0 minutes

D 30.0 minutes
E 150.0 minutes

Do not unbderstand the question-what is mean by before they all flash at the same time again?
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nota bene
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#107
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#107
(Original post by akiromuchi)
Assume that it is a weekend.
Check your denominator (there is something there that shouldn't be there...)
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OCC++
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#108
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#108
for 2 i dun understand the meaning of otherwise. but u can try letting the people before be x. try working out equation for after.

for 3, dun be so bothered by their usuage of before. the question is probably just asking for the concept of lowest commonmultiples.



for ur previous question, busy and quiet periods are mutualy e xclusive...
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akiromuchi
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#109
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#109
(Original post by nota bene)
Check your denominator (there is something there that shouldn't be there...)
Each ride lasts for 3 minutes.
It can take up to 5 minutes to unload and reload between rides at busy periods, but even
when the park is quiet there is a 2 minute gap between the end of one ride and the beginning of the next

So,the sum of denominator is (5+2+3)=10 ,anything wrong?
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akiromuchi
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#110
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#110
(Original post by OCC++)



for ur previous question, busy and quiet periods are mutualy e xclusive...
For busy period,600/(5+3)=75
For quiet period ,600/(2+3)= 120
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akiromuchi
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#111
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#111
(Original post by OCC++)
for 2 i dun understand the meaning of otherwise. but u can try letting the people before be x. try working out equation for after.

for 3, dun be so bothered by their usuage of before. the question is probably just asking for the concept of lowest commonmultiple

Is Q 2 workable since we do not know how many spoons are there in one packet?

How about Q 1?
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OCC++
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#112
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#112
i totally duno what qns 1 is talking about.

if you can help me to interpret the meaning of otherwise for qns 2 then perhaps i can think further.
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