SOLUTION: A soakaway was dug by 5 men in 24 days.How many days would it take 15 men to dig,if they were to work at the same rate?

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Question 1162253: A soakaway was dug by 5 men in 24 days.How many days would it take 15 men to dig,if they were to work at the same rate?
Found 3 solutions by josgarithmetic, MathLover1, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The work rate for 1 man, r;
What WAS done, 1 job in 24 days, FIVE men having done it, , this being the work rate of the five men.



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How many days would it take 15 men to dig,if they were to work at the same rate?
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Which same rate? If you mean, each man still works at the same rate r, then you have unknown days, d;


Notice that this is three times the rate of the other group of men.


-
-----------now solve for d.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

shortest way:
men days
men times as many men means it takes as long-> days
or this way:
men work at the rate of hole per day
man works at the rate of hole per day
men works at the rate of hole per day
So, our equation to solve is:
(1 hole, that is)


days


Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Three times more workforce implies three times less work-time.


ANSWER.  8 days.



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