SOLUTION: 8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone      Log On


   

Question 1039208: 8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is the same as any work rates problem; RT=W to relate rate, time, amount of work.

Your description uses different amounts of workers of different types, and each one worker has its own rate.

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Change from:
8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone

To this:
Eight men and 12 boys can finish a piece of work in 5 days, while 6 men and 8 boys can finish it in 7 days. Find the time taken by 1 man and 1 boy alone.
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The amount of work in those two parts is 1, of whatever unit is this work.
Let r be the work rate for one man and let B be the work rate for one boy.
Rate of workers acting together is the addition of all their individual rates.
This is the basic system of equations according to the description:system%28%288r%2B12B%295=1%2C%286r%2B8B%297=1%29


Can you understand, and then do the rest (arithmetic)?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

8men and 12boy can finish a piece of work in 5 day while 6men and 8boy can finish it in 7 day. Find the time taken by 1men and 1 boy alone