Question

Two inlet pipes A and B together can fill a tank in 24 min, and it takes 6 min more when one leak is developed in the tank. Find the time taken by leak alone to empty the tank.

• A. 3 hours
• B. 4 hours
• C. 2.5 hours
• D. 2 hours

Answer 1

Answer:

D. 2 hours

Let the capacity of the tank be 120 units (LCM of 24 and 30). Now, efficiency of both pipes without leakage = 120/24 = 5 units/min And, efficiency of two pipes with leakage = 120/30 = 4 units/min Hence, efficiency of leakage = 5 - 4 = 1 unit/min Required time taken = 120/1 = 120 min = 2 hrs