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5 men prepaers 10 toy in 6 days working 6 hours a day. In

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5 men prepaers 10 toy in 6 days working 6 hours a day. In [#permalink] New post 19 Aug 2007, 21:41
5 men prepaers 10 toy in 6 days working 6 hours a day. In how many days can 3 men prepare 20 toys working 4 hours a day ?
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Re: Work Problem (got this from a word attachment below) [#permalink] New post 19 Aug 2007, 21:52
helpmeongmat wrote:
5 men prepaers 10 toy in 6 days working 6 hours a day. In how many days can 3 men prepare 20 toys working 4 hours a day ?



= 6 x (5/3)(20/10)(6/4)
= 30
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 [#permalink] New post 19 Aug 2007, 22:01
Please explain the logic behind this. Thanks.
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 [#permalink] New post 19 Aug 2007, 22:37
Let's say 1 job = 10 toys, then

Each men work can finish 1 job in x hours, then 5 men will finish 5/x job in 1 hour.

So now we have:
1 job = 36 hours
so 5/x * 36 = 1
x = 180 hours

So now we have 3/x job in 1 hour. 1 job will take x/3 hours = 60 hours. We're told they need to complete 2 jobs (20 toys), so they need 120 hours. They work 4 hours a day, so they need 30 days to complete the work.
  [#permalink] 19 Aug 2007, 22:37
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