SOLUTION: Pump A, working alone, can fill a swimming pool in 6 hours. EIther one of pumps B or C, working alone, can fill the pool in 3 hours. If all three pumps, working at these rates, are

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Pump A, working alone, can fill a swimming pool in 6 hours. EIther one of pumps B or C, working alone, can fill the pool in 3 hours. If all three pumps, working at these rates, are      Log On


   

Question 961767: Pump A, working alone, can fill a swimming pool in 6 hours. EIther one of pumps B or C, working alone, can fill the pool in 3 hours. If all three pumps, working at these rates, are used at the same time to fill the pool, what fraction of the pool is filled by pump A?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A's rate of pumping is +1%2F6+
B's rate is +1%2F3+
C's rate is +1%2F3+
Working together:
+1%2F6+%2B+1%2F3+%2B+1%2F3+=+1%2Ft+
Multiply both sides by +6t+
+t+%2B+2t+%2B+2t+=+6+
+5t+=+6+
+t+=+1.2+ hrs
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All 3 pumps are pumping for 1.2 hrs
The fraction of the pool that A pumps
is:
+%28+1%2F6+%29%2A1.2+=+.2+
The fraction that B pumps is:
+%28+1%2F3+%29%2A1.2+=+.4+
The fraction that C pumps is:
+%28+1%2F3+%29%2A1.2+=+.4+
The fraction of the pool filled by pump A is 1/5