Question

A pipe can fill a tank in 10 hours. Due to a leak in the bottom, it fills the tank in 22.5 hours. If the tank is full, then how much time will the leak take to empty it?

• A. 17 hours
• B. 18 hours
• C. 19 hours
• D. 16 hours

Answer 1

Answer:

B. 18 hours

Assume LCM of 10 and 22.5 is 225 litres (for easier calculation).

Pipe's work per hour = 225 / 10 = 22.5 litres.

Combined work per hour = 225 / 22.5 = 10 litres.

Leak's work per hour = 22.5 - 10 = 12.5 litres (leak empties).

Time taken by the leak: Time = 225 / 12.5 = 18 hours.