Question 6

Pipe X can fill a tank in 12 hours and pipe Y can empty the tank in 18 hours. Both pipes are opened at 8 am and after some time Y is closed, and the tank is full at 10 pm on the same day. At what time was pipe Y closed?

Solution

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Let volume be 36 units 
so X fills at 3 units per hour and Y empties at 2 units per hour
Now Tank was filled in 14 hrs so X filled 14*3 =42 units
Now therefore Y emptied 6 units
so it will empty 6 units in 3 hours
so Y will be closed at 11 am

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