Question

A tank fills A tank in 16 minutes and the same tank B empties in 24 minutes. If both taps are turned on at the same time, after how long should tap B be turned off so that after 30 minutes the tank is in full condition?​

Answer 1

Answer:

Given∶

Time taken by pipe A to fill the tank = 16 minutes

Time taken by pipe B to empty the tank = 24 minutes

Calculation∶

Efficiency of pipe A = 1/16

Efficiency of pipe B = 1/24

Filling of tank by pipe A in 30 minutes = 30 × 1/16 = 15/8

Amount of water filled by pipe A which is in excess after filling the tank = 15/8 – 1 = 7/8

This excess water is emptied by pipe B when they open together.

Time taken by pipe B to empty excess water = (7/8) / (1/24) = 21 minutes