SOLUTION: A roofer and an assistant can repair a roof tegether in 6 hours. The assistant can complete the repairalone in 14 hhours. If both the roofer and the assistant work together for 2 h

Question 1011341: A roofer and an assistant can repair a roof tegether in 6 hours. The assistant can complete the repairalone in 14 hhours. If both the roofer and the assistant work together for 2 hours and then the assistant is left alone to finish the job. How much longer will the assistant need to finish the repair?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
RT=J to relate work rate, time, amount of job

First examine their rates, as 1 job per quantity of time in hours

Roofer 1/14 Assistant 1/x Both together 1/6

or 10&1/2.
You can use this rate as .

Next, the work to be done is cut into two time periods using different arrangements of roofer and assistant. Let t be the time asked for.
-
.
Important is this equation make sense and the earlier rate analysis make sense. Now just solve for t.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
A roofer and an assistant can repair a roof tegether in 6 hours. The assistant can complete the repairalone in 14 hhours. If both the roofer and the assistant work together for 2 hours and then the assistant is left alone to finish the job. How much longer will the assistant need to finish the repair?

Assistant takes: additional hours to complete remaining of job
Also view problem # 623056, as it's EXACTLY the same problem, but with different numbers.
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