SOLUTION: A modern pump can empty a tank three times as fast as another. If both pumps work together, these can complete the job in 4hours. Find the rate of each pump.

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Question 940954: A modern pump can empty a tank three times as fast as another. If both pumps work together, these can complete the job in 4hours. Find the rate of each pump.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +R+ = the rate of the slow pump
+3R+ = the rate of the fast pump
+R+%2B+3R+=+1%2F4+
+4R+=+1%2F4+
+R+=+1%2F16+
+3R+=+3%2F16+
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The slow pump's rate is ( 1 tank ) / ( 16 hrs )
The fast pump's rate is +3%2F16+ = ( 1 tank ) / ( 5 hrs 20 min )
( not that 5 hrs 20 min = +16%2F3+=+5.333+ hrs