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Pump one can fill tank to 1/3 capacity in 45 minutes Pump 2

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Pump one can fill tank to 1/3 capacity in 45 minutes Pump 2 [#permalink] New post 26 Aug 2007, 05:24
Pump one can fill tank to 1/3 capacity in 45 minutes
Pump 2 can fill it to 2/3 capacity in 2 hours
Pump 3, a pump that pumps the tank out and unfill it in 1.5 hours
How long would it take to fill the tank if all 3 were working at same time?

A. 4.5
B. 6
C. 8
D. 9
E. 12
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 [#permalink] New post 26 Aug 2007, 08:00
First pump = full tank = 2.25 hours

Second pump = full tank = 3 hours

Third pump = empty full tank = 1.5 hours

1/2.25+1/3-1/1.5 =

4/9+3/9-6/9 = 1/9 = working together per one hour

so the job will take nine hours to be completed

the answer is (D)

:-D
  [#permalink] 26 Aug 2007, 08:00
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Pump one can fill tank to 1/3 capacity in 45 minutes Pump 2

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