Question

A pump can fill a tank with water in 2 hours. because of a leak, it took 8/3 hours to fill the tank. the leak can drain all the water of the tank in:

Answer 1

The pump can fill the tank in 2 hours

⇒ 1 hour = 1/2 the tank

The pump (with the leak ) can fill the tank in 8/3 hours

⇒ 1 hour = 3/8 of the tank

Find the fraction of water in the tank drained in an hour

1 hour = 1/2 - 3/8 = 1/8 of the tank

Find the number of hours to drain the tank:

1/8 of the tank = 1 hour

8/8 of the tank = 1 x 8 = 8 hours

Answer: It will take 8 hours to drain the tank