A pipe is filling a tank of 2000 litres capacity at 5 Litres/hr but because of…

2026

A pipe is filling a tank of 2000 litres capacity at 5 Litres/hr but because of the leak it takes 80 hours more to fill the tank. What is the rate (in litres/hr) at which the water is leaking ?

  1. A.

    5/6

  2. B.

    7/8

  3. C.

    6/7

  4. D.

    8/9

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Show answer & explanation

Correct answer: A

Solution: Let the leak rate be x litres/hour.

  1. Time to fill with no leak = 2000 ÷ 5 = 400 hours.

  2. With the leak it takes 80 hours more, so time with leak = 400 + 80 = 480 hours.

  3. Net filling rate with leak = 2000 ÷ 480 = 25/6 litres/hour.

  4. So the leak rate x = 5 - 25/6 = 5/6 litres/hour.

Answer: 5/6 litres/hour

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