A tap P can fill a cistern in 5 hours and the tap Q can empty the full cistern in 6 hours. if both the taps are opened together in the empty cistern, in how many time will the cistern be filled up?
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Step-by-step explanation:
Tap p fill cistern in = 5 hours
Tap p fill cistern in 1hour = 1/5 hours
Tap q empty cistern in = 6 hours
Tap q empty cistern in 1hour = 1/6 hours
Time taken to fill cistern if both tap are opened = =1/5-1/6
=6-5/30
=1/30
In 1hour when both are opened = 1/30
So,
When both tap are opened then cistern take 30 hours to fill.
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