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The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?

Correct answer: C. 52hours

  • A. 26hours
  • B. 42hours
  • C. 52hours
  • D. 65hours

Explanation

The reservoir volume to be filled is 80 m × 60 m × 6.5 m = 31,200 m3. The pipe area is (0.2 m)2 = 0.04 m2, and water speed is 15 km/h = 15,000 m/h, so flow = 0.04 m2 × 15,000 m/h = 600 m3/h; time = 31,200 m3 ÷ 600 m3/h = 52 h. The likely wrong choice is 42 h, caused by using the wrong reservoir depth or pipe flow.

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