Multiple choice

Two different pump A and B filling a tank together. Pump A fill the tank through a pipe which diameter 7 cm and rate of flow of water is 10 cm/sec. Another Pump B fill the tank through a pipe which diameter 8.4 cm and rate of flow of water is 50 cm/sec. If the capacity of the tank is 9471 liter then in how many hours the tank will be full filled?

  1. 20 minutes

  2. 30 minutes

  3. 40 minutes

  4. 36 minutes

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Pump A flow rate = π × (3.5)² × 10 = 122.5π cm³/sec. Pump B flow rate = π × (4.2)² × 50 = 882π cm³/sec. Combined flow = 1004.5π cm³/sec. Tank capacity = 9471 liters = 9,471,000 cm³. Time = 9,471,000/(1004.5π) ≈ 2999 seconds ≈ 50 minutes. None of the given options (20, 30, 36, 40 minutes) match this answer.

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