Question
Pipe A usually fills a tank in 6 hours. But due to a
leak at the bottom of the tank, it takes extra 2 hours to fill the tank. If the tank is full, then how much time will it take to get emptied due to the leak?Solution
Pipe A fills the tank in 6 hours. So, its rate = 1/6 of the tank per hour. With the leak, it takes 8 hours. So, combined rate = 1/8 of the tank per hour. Leak's rate = Pipe A's rate - Combined rate
= 1/6 - 1/8
= (4 - 3)/24 = 1/24 So, the leak alone can empty the full tank in 24 hours.
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