SOLUTION: ten workers could do p jobs in 5 days. this was too slow, so the contractor hired 5 more workers. how many days would it take the new work force to complete k jobs?

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Question 1151652: ten workers could do p jobs in 5 days. this was too slow, so the contractor hired 5 more workers. how many days would it take the new work force to complete k jobs?
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.

In the first scenario, the rate of work is  p%2F%2810%2A5%29 = p%2F50  job per day per worker.


In the second scenario, the rate of work is  k%2F%28%2810%2B5%29%2Ad%29 = k%2F%2815%2Ad%29  job per day per worker,

where "d" is the unknown number of days.



The rate of work is assumed to be the same in both cases, which produces this equation


    p%2F50 = k%2F%2815d%29.


From this equation (from this proportion)


    15*d*p = 50*k,


    d = %2850%2Ak%29%2F%2815%2Ap%29 = %2810k%29%2F%283p%29.    ANSWER

Solved.

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