SOLUTION: If 4 men with 9 boys can do a piece of work in 6/5 days, and 3 men with 6 boys can do the same work in 12/7 days, how long would 1 boy alone take to do the work?

Question 478463: If 4 men with 9 boys can do a piece of work in 6/5 days, and 3 men with 6 boys can do the same work in 12/7 days, how long would 1 boy alone take to do the work?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let 1/b = part of the work done by one boy in one day, and
let 1/m = part of the work done by one man in one day.
Then , and
.
==> and
==> from the 2nd equation.
==>
==> ==> ==>
==> 1/18 of the work is done per boy per day.
==> It will take 18 days for one boy to finish the work.
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