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# It takes 13 men and 7 children to complete a job in 7 days.

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Intern
Joined: 20 Jul 2007
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It takes 13 men and 7 children to complete a job in 7 days. [#permalink]  27 Jul 2007, 06:55
It takes 13 men and 7 children to complete a job in 7 days. It takes 13 women and 6 children to complete the same job in 6 days. How long would it take with only 1 man, 1 woman and 1 child?
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Re: rate of work [#permalink]  27 Jul 2007, 06:59
whynot wrote:
It takes 13 men and 7 children to complete a job in 7 days. It takes 13 women and 6 children to complete the same job in 6 days. How long would it take with only 1 man, 1 woman and 1 child?

In one day (13 men + 7 children) = 1/7
In one day (13 women + 6 children) = 1/6

In one day (13 men + 13 women + 13 children) = 1/6 + 1/7 = 13/42

Therefore, (1 man + 1 woman + 1 child) can do it in 42 days.
Intern
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[#permalink]  27 Jul 2007, 10:20
yup, OA is 42.
thank you
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Re: rate of work [#permalink]  28 Jul 2007, 08:25
sumande wrote:
whynot wrote:
It takes 13 men and 7 children to complete a job in 7 days. It takes 13 women and 6 children to complete the same job in 6 days. How long would it take with only 1 man, 1 woman and 1 child?

In one day (13 men + 7 children) = 1/7
In one day (13 women + 6 children) = 1/6

In one day (13 men + 13 women + 13 children) = 1/6 + 1/7 = 13/42

Therefore, (1 man + 1 woman + 1 child) can do it in 42 days.

excellent. I was thinking to solve this one but missed for unknown reason.
Re: rate of work   [#permalink] 28 Jul 2007, 08:25
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# It takes 13 men and 7 children to complete a job in 7 days.

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