SOLUTION: A 15-person road crew is scheduled to finish repairing a highway in 12 days. On the morning of the fifth day, several new workers join the crew and, together, they complete the rem

Question 1032312: A 15-person road crew is scheduled to finish repairing a highway in 12 days. On the morning of the fifth day, several new workers join the crew and, together, they complete the remaining repairs in 6 days. How many new workers joined the crew?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
There is a requirement of 15*12 = 180 person-days to finish repairing the highway. Since it has been 4 days that the crew has been working, 4*15 = 60 person-days have already been accomplished. The remaining work is done by 15+x persons in 6 days. Hence,
60 + 6(15+x) = 180
==> 6(15+x) = 120
==> 15+x = 20
==> x = 5.
Therefore five new workers joined the crew.
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