Pipe A generally filled a tank in 3 hours but due to leakage in the bottom of the tank it takes 15 minutes more time to filled the tank, if the tank is fully filled then find in how much time the whole tank should be emptied due to leakage?

Pipe A fills in 3 hours, so rate = 1/3 tank per hour. With leakage, it takes 3.25 hours (3 hr 15 min), so combined rate = 1/3.25 = 4/13. Leakage rate = 4/13 - 1/3 = 12/39 - 13/39 = -1/39 (negative means emptying). Time to empty = 39 hours. Verify: In 3.25 hours, A fills 3.25/3 = 1.083 tanks, leakage removes 3.25/39 = 0.083, net = 1 tank ✓