SOLUTION: If M men could do J jobs in 1 day, how many days would it take 5 fewer men to do K jobs?

Question 947348: If M men could do J jobs in 1 day, how many days would it take 5 fewer men to do K jobs?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Uniform Rates for Doing a Job.

If n agents which work at the same rate of r do a job, the rate is n*r.

, the condition.

Let t be how many days for the M-5 men.
.

The system is

and the unknown variables are r and t.
The question is, how many more days is t than 1, but you essentially want to solve for t.

First equation gives you .
Substitute into the second equation.

, or you could perform the indicated multiplication in the denominator. Finish by subtracting 1. "How many more day...?"
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