SOLUTION: All members of a crew work at the same pace. If only 4 members of the crew are working, they complete the job in 18 days. How many hours will it take all 9 members of the crew to c

Algebra ->  Finance -> SOLUTION: All members of a crew work at the same pace. If only 4 members of the crew are working, they complete the job in 18 days. How many hours will it take all 9 members of the crew to c      Log On


   



Question 964695: All members of a crew work at the same pace. If only 4 members of the crew are working, they complete the job in 18 days. How many hours will it take all 9 members of the crew to complete the same job?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rate of working for +4+ members is:
[ 1 job ] / ( 18 days ]
---------------------------
+1+ member will take +4+ times as long
to finish the job, so the rate for +1+ member is:
[ 1 job ] / [ 72 days ]
----------------------
The rate for +9+ members would be +9+ times
as fast as the rate for +1+ member, so the rate is:
+9%2A%28+1%2F72+%29+=+1%2F8+, or
[ 1 job ] / [ 8 hrs ]
All 9 members of the crew take 8 hrs
to complete the same job