Tap P fills a tank in 4 hours whereas tap Q empties the tank in 24 hours. P and Q are opened alternately for 1 hour each. Every 2 hours the level of water is found to increase by 0.5m. The depth of the tank is -

Question: Tap P fills a tank in 4 hours whereas tap Q empties the tank in 24 hours. P and Q are opened alternately for 1 hour each. Every 2 hours the level of water is found to increase by 0.5m. The depth of the tank is -

Solution:
let, the depth of the tank is = h

in two hours total fill-up = 1/4 - 1/24
= 5/24

∴ (5/24)h = 0.5
h = 2.4m