SOLUTION: a job can be done in as many days as there men in the group. if the number of men is reduced by 4, the job will be delayed by 5 days. How many men were there originally in the gro

Question 889065: a job can be done in as many days as there men in the group. if the number of men is reduced by 4, the job will be delayed by 5 days. How many men were there originally in the group?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
One job can be done in d days by d men in the group. if the number of men is reduced by 4, the job will be delayed by 5 days. How many men were there originally in the group?

Reducing the number of men to d-4 makes the 1 job require d+5 days.

The d men in d days did one job. The reduced men, more days arrangement was also for one job. The number of jobs is equal.

RT=J for rate, time, job. We can use r for the one-man work rate.

.
The factor of r occurs on both sides of the equation, and the only other variable resulting in terms in powers of one and two is d. Solve for d.
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

a job can be done in as many days as there men in the group. if the number of men is reduced by 4, the job will be delayed by 5 days. How many men were there originally in the group?

Original number of men:
You can do the check!!
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