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childrens homework

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cascath | 22:58 Fri 09th Sep 2005 | Quizzes & Puzzles
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I know that there is an easy way to work out formula for solving these type of maths questions but I'm beat if I can remember what it is.  It's 27 years since I was at school.

A haulage company charges �240 to transport four pallets a distance of 300miles.  How far would they transport five pallets for a cost of �180/

Seven men can pack 2352 boxes of chocolate bars in a 4 hour shift.  How long would it take five men to pack 3150 boxes of chocolate bars? 

Thanks

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The second one is 7.5 hours.

The first answer is 180 miles. Teachers generally want to know how you got to the answer, so details below...

�240 divided by 300miles = �0.80 per mile for all pallets

�0.80 divided by 4 pallets = �0.20 per pallet per mile

�180 divided by 5 pallets = �36 per pallet for full journey

�36 divided by �0.20 cost per pallet per mile = 180miles

I'm not sure if this is what you'd call an easy formula, but...

1st question:

Divide �240 by 4 to get the price per pallet for 300 miles = �60; divide 300 (miles) by 60 (pounds) and you can say 5 miles costs �1 per pallet.

In the second part of the question you need to divide �180 by five (pallets).  This gives you �36. So each pallet is travelling �36 worth of miles.  50 miles costs �10; 5 miles costs �1. Your pallets can therefore travel 3 x 50 miles = �30 + 6 x 5 miles = �6 or a grand total of 180 miles.

Second question is similar: 2352 divided by 7 = 336. 336 divided by four = 84. Therefore one man can pack 84 boxes in an hour.  5 men can pack 84 x 5 = 420 boxes in an hour. 3150 divided by 420 = 7.5 as GarryD39b so rightly says.

Question Author
Thanks for that I definitely need a refresher course.
Question Author

sorry here is the last question and I have worked it out myself.  Could you let me know if this is correct.

In 1 Hour, 8 teachers can mark 90 exam papers.  How many exam papers can 15 teachers mark in 1 and a half hrs?

90 divide by 8 = 11.25  = 1 teacher per hr

15 x 11.25 = 168.75 = 15 teachers in 1 hr

168.75 divide by 2 = 84.37 = 15 teachers in half an hr

168.75 = 84.37 = 253.12

Have I lost the plot or is this correct.   Sorry I'm not really thick usually.

Looks OK to me (haven't checked your sums, but the logic looks right)!!

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