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The tank has two taps. Tap A is to fill the tank and tap B is to empty the tank. If only tap A can fill the tank in 35 hours, only tap B can empty the filled tank completely in 70 hours. Find how many hours it will take to fill the half empty tank completely.

The tank has two taps. Tap A is to fill the tank and tap B is to empty the tank. If only tap A can fill the tank in 35 hours, only tap B can empty the filled tank completely in 70 hours. Find how many hours it will take to fill the half empty tank completely. Correct Answer 35 hours

Given:

Tap A can fill in 35 hours

Tap B can empty in 70 hours.

Calculation

Tap A can fill in 35 hours

Tap A can fill in 1 hour = 1/35

Tap B can empty in 70 hours.

Tap B can empty in 1 hour = 1/70

Tap A and Tap B can fill in 1 hour

⇒ (1/35) - (1/70)

⇒ 1/70

Tap A and Tap B can fill the full tank

⇒ 70 hours

Tap A and Tap B can fill the half-tank

⇒ 70/2

⇒ 35 hours

∴ The half tank is filled in 35 hours.

Tap A and Tap B can fill in 1 hour

⇒ 2 - 1 = 1

Half tank capacity

⇒ 70/2

⇒ 35

Tap A and Tap B can fill the half-tank

⇒ 35/1

⇒ 35 hours

∴ The half tank is filled in 35 hours.

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