Multiple choice

Water flows into 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 3 m.?

  1. 15 seconds

  2. 19 seconds

  3. 23 seconds

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

Volume of water needed = tank area × height rise = 15 × 10 × 3 = 450 m³ = 450,000 L. Water flow per second = pipe area × velocity = (2 × 1.5) × (20 × 1000/3600) = 3 × (20000/3600) = 3 × 5.56 = 16.67 m³/s. Time = 450/16.67 = 27 seconds.

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