Question 96

Pipe A fills a tank in 8 hours while pipe B empties the full tank in 10 hours. If both the pipes A and B are opened simultaneously the time taken (in hours) to fill the tank is

Solution

Let the tank capacity be 80 liters. 
Hence, the first pipe can fill the tank at 10 liters per hour and the draining pipe drains the tank at 8 liters per hour.

Both are opened together, so the net effect would be 10-8 = 2 liters of volume of liquid added per hour. 
Hence, amount of time required to fill tnk completely = 80/2 = 40 hours


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