# A really confusing maths question

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It's so confusing. I don't even know what topic it is. Could anyone walk me through?

A company has to make a large number of boxes.

The company has 6 machines.

All the machines work at the same rate.

When all the machines are working, they can make all the boxes in 11 days.

Day 1: 3

Day 2: 4

Day 3: 5

All other days: 6

Work out the total number of days taken to make all the boxes.

A company has to make a large number of boxes.

The company has 6 machines.

All the machines work at the same rate.

When all the machines are working, they can make all the boxes in 11 days.

Day 1: 3

Day 2: 4

Day 3: 5

All other days: 6

Work out the total number of days taken to make all the boxes.

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#2

Have you missed out a section of the question? What does the “day 1:3” mean?

Is it number of machines working on that day?

Is it number of machines working on that day?

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(Original post by

Have you missed out a section of the question? What does the “day 1:3” mean?

Is it number of machines working on that day?

**GabiAbi84**)Have you missed out a section of the question? What does the “day 1:3” mean?

Is it number of machines working on that day?

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#4

(Original post by

It's so confusing. I don't even know what topic it is. Could anyone walk me through?

A company has to make a large number of boxes.

The company has 6 machines.

All the machines work at the same rate.

When all the machines are working, they can make all the boxes in 11 days.

Day 1: 3

Day 2: 4

Day 3: 5

All other days: 6

Work out the total number of days taken to make all the boxes.

**UrGrandpap**)It's so confusing. I don't even know what topic it is. Could anyone walk me through?

A company has to make a large number of boxes.

The company has 6 machines.

All the machines work at the same rate.

When all the machines are working, they can make all the boxes in 11 days.

Day 1: 3

Day 2: 4

Day 3: 5

All other days: 6

Work out the total number of days taken to make all the boxes.

You know that 11 6 machine days completes all boxes. If I were you, I would think about how many 6 machine days Day 1, 2 and 3 are equivalent to, using the fact that all machines work at the same rate. Hope that helps.

Last edited by Zoqua; 1 month ago

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i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

(Original post by

I remember doing a similar if not identical question at GCSE, and it's really not difficult once you figure out why the information they've given you is useful.

You know that 11 6 machine days completes all boxes. If I were you, I would think about how many 6 machine days Day 1, 2 and 3 are equivalent to, using the fact that all machines work at the same rate. Hope that helps.

**Zoqua**)I remember doing a similar if not identical question at GCSE, and it's really not difficult once you figure out why the information they've given you is useful.

You know that 11 6 machine days completes all boxes. If I were you, I would think about how many 6 machine days Day 1, 2 and 3 are equivalent to, using the fact that all machines work at the same rate. Hope that helps.

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#6

Yes, so add up how many machines were working in those 3 days, how many “full days” is that equivalent to?

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#7

(Original post by

i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

**UrGrandpap**)i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

i'm a little confused. aren't day 2 and 3 equivalent to 4 and 5 machines working?

*11 days for 6 machines*to complete the work. You also know that

*all the machines work at the same rate.*Therefore a logical approach to find the remaining number of days (ie how many days is 'all other days'), is to find the number of days with 6 machines working, that Days 1, 2 and 3 are equal to combined together, and then subtract this from 11 to work out how many other days there are (as there are 6 machines working for each of those other days). You then know that the total will be this number plus three (as you have the first three days to think about as well).

If you're wondering how to find out how many 6 machine days Days 1, 2 and 3 are equal to, then a good approach might be to think of it in terms of machine hours. By the rules of this forum I can't give you the answer so sorry I can't be more clear.

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(Original post by

Yes, so add up how many machines were working in those 3 days, how many “full days” is that equivalent to?

**GabiAbi84**)Yes, so add up how many machines were working in those 3 days, how many “full days” is that equivalent to?

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#9

(Original post by

so um day 3 had 9 machines working?

**UrGrandpap**)so um day 3 had 9 machines working?

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(Original post by

Not quite. How many days with 6 machines working is a day with 3 machines working equal to, in terms of production?

**Zoqua**)Not quite. How many days with 6 machines working is a day with 3 machines working equal to, in terms of production?

(Original post by

I think you have misinterpreted what I said, so I'll clarify. You know that it takes

If you're wondering how to find out how many 6 machine days Days 1, 2 and 3 are equal to, then a good approach might be to think of it in terms of machine hours. By the rules of this forum I can't give you the answer so sorry I can't be more clear.

**Zoqua**)I think you have misinterpreted what I said, so I'll clarify. You know that it takes

*11 days for 6 machines*to complete the work. You also know that*all the machines work at the same rate.*Therefore a logical approach to find the remaining number of days (ie how many days is 'all other days'), is to find the number of days with 6 machines working, that Days 1, 2 and 3 are equal to combined together, and then subtract this from 11 to work out how many other days there are (as there are 6 machines working for each of those other days). You then know that the total will be this number plus three (as you have the first three days to think about as well).If you're wondering how to find out how many 6 machine days Days 1, 2 and 3 are equal to, then a good approach might be to think of it in terms of machine hours. By the rules of this forum I can't give you the answer so sorry I can't be more clear.

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#11

So the order takes 11days if 6machines working.

Day one only had 3 machines working so works out as only half the production for that day.

If you add up the machines that were working for the first three day you get 3 4 5=12,

which is equivalent to only how many days of full production?

Day one only had 3 machines working so works out as only half the production for that day.

If you add up the machines that were working for the first three day you get 3 4 5=12,

which is equivalent to only how many days of full production?

Last edited by GabiAbi84; 1 month ago

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(Original post by

So the order takes 11days if 6machines working.

Day one only had 3 machines working so works out as only half the production for that day.

If you add up the machines that were working for the first three day you get 3 4 5=12,

which is equivalent to only how many days of full production?

**GabiAbi84**)So the order takes 11days if 6machines working.

Day one only had 3 machines working so works out as only half the production for that day.

If you add up the machines that were working for the first three day you get 3 4 5=12,

which is equivalent to only how many days of full production?

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#13

**GabiAbi84**)

So the order takes 11days if 6machines working.

**Day one only had 3 machines working so works out as only half the production for that day.**

If you add up the machines that were working for the first three day you get 3 4 5=12,

which is equivalent to only how many days of full production?

**Zoqua**)

Not quite. How many days with 6 machines working is a day with 3 machines working equal to, in terms of production?

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(Original post by

Bold section above was what I was driving at with this question below OP. Day 1 is equivalent to 1/2 of a 6 machine day, as the machines all work at equal rates. Using this approach, what are Day 2 and Day 3 equal to in terms of 6 machine days?

**Zoqua**)Bold section above was what I was driving at with this question below OP. Day 1 is equivalent to 1/2 of a 6 machine day, as the machines all work at equal rates. Using this approach, what are Day 2 and Day 3 equal to in terms of 6 machine days?

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#15

(Original post by

so day 2 is equivalent to ⅔ of a 6 machine day and day 3 is equivalent to ⅚ of a 6 machine day?

**UrGrandpap**)so day 2 is equivalent to ⅔ of a 6 machine day and day 3 is equivalent to ⅚ of a 6 machine day?

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(Original post by

Yes . So now that you have this, how many 6 machine days are days 1, 2 and 3 combined?

**Zoqua**)Yes . So now that you have this, how many 6 machine days are days 1, 2 and 3 combined?

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#17

(Original post by

12?

**UrGrandpap**)12?

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(Original post by

Is this your answer to the whole question? Or to the number of 6 machine days that days 1, 2 and 3 are equal to?

**Zoqua**)Is this your answer to the whole question? Or to the number of 6 machine days that days 1, 2 and 3 are equal to?

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#20

(Original post by

i put 12 for the answer of day 1, 2 and 3 but i don't think it's right.

**UrGrandpap**)i put 12 for the answer of day 1, 2 and 3 but i don't think it's right.

You know that it takes 11 days of 6 machines working to finish the boxes, so how many extra days are there (and so what is the answer to the question)?

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