Multiple choice

Water flows in to a tank 15 m.×10 m. through a rectangluar pipe 2 m.×1.5 m. at 20 km./hr. In how much time will the water level in the tank rise by 3m.? एक 15 मी.×10 मी. टैंक में 2 मी.×1.5 मी. वाले आयताकार पाइप से 20 किमी./घं. की दर से पानी बह रहा है। कितने समय में टैंक में पानी का स्तर 3 मी. उठ जायेगा?

  1. 30 seconds/ सेकेण्ड

  2. 26 seconds/ सेकेण्ड

  3. 25 seconds/ सेकेण्ड

  4. 27 seconds/ सेकेण्ड
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of water needed = area of tank × rise in height = 15 × 10 × 3 = 450 m³. Pipe cross-section = 2 × 1.5 = 3 m². Speed = 20 km/hr = 20000 m/hr = 20000/3600 m/sec ≈ 5.56 m/sec. Flow rate = 3 × 5.56 = 16.68 m³/sec. Time = 450/16.68 ≈ 27 seconds.

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