SOLUTION: If 6 men and 8 boys can complete a piece of work in 10 days and 8 men and 6 boys can complete in 14 days.. in how many days boys alone can complete the work???

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Question 1039045: If 6 men and 8 boys can complete a piece of work in 10 days and 8 men and 6 boys can complete in 14 days.. in how many days boys alone can complete the work???
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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If 6 men and 8 boys can complete a piece of work in 10 days and 8 men and 6 boys can complete in 14 days.
in how many days how_many boys alone can complete the work?
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    Let "m" be the rate-of-work for one single man in job-per-day unit.
And let "b" be the rate-of-work for one single boy in job-per-day unit.


Then you have this system of two eqns in two unknowns

6m + 8b = 1%2F10,   (1)     ("6 men and 8 boys can complete a piece of work in 10 days")
8m + 6b = 1%2F14.   (2)     ("8 men and 6 boys can complete a piece of work in 14 days")

Solve the system by any way you can and get "m" and "b".
Then you will be in position to answer the question.

You forgot to assign the number of boys in your question.