SOLUTION: If 4 men or 7 boys can do a work in 29 days, then 12 men and 8 boys will do the same work in?

Question 698075: If 4 men or 7 boys can do a work in 29 days, then 12 men and 8 boys will do the same work in?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If 4 men or 7 boys can do a work in 29 days, :
:
the job can be completed in
4*29 = 116 man-days
or
7*29 = 203 boy-days
:
:
"then 12 men and 8 boys will do the same work in?
:
let d = no. of days to do this
Let the completed job = 1,
:
Each will do a fraction of the job, the two fractions add up to 1
+ = 1
multiply equation by 23548 (203*116), results:
203(12d) + 116(8d) = 23548
:
2436d + 928d = 23548
:
3364d = 23548
d =
d = 7 days
:
:
Check this
+ =
+ =
.724 + .276 = 1
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