DisciplinedPrep wrote:
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hours. Find the capacity of the tank.
A. 5780 liters
B. 5770 liters
C. 5760 liters
D. 5750 litres
E. 5790 liters
Leak empties 1 tank in 6 hrs. So rate of work of leak = -1/6 (because it is negative work)
Inlet + leak empty the tank in 8 hrs. So rate of inlet + rate of leak = -1/8 (again overall work is negative)
Rate of inlet - 1/6 = -1/8
Rate of inlet = (1/24)th tank per hour
Time taken to fill the tank by the inlet = 24 hrs
Rate of inlet = 4 lts per min = 4*60 lts per hour = 240 lts per hour
Volume of water filled in 24 hrs = 240 * 24 = 5760 lts = Capacity of the tank
Answer (C)
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Karishma
Veritas Prep GMAT Instructor
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