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A rectangular tank is 225 m by 162m at the base with what speed must water flow into it through an aperture 60cm by 45cm that the level may be raised 20cm in 5 hours?

Correct answer: C. 5400 m/hr

  • A. 5000 m/hr
  • B. 5200m/hr
  • C. 5400 m/hr
  • D. 5600 m/hr

Explanation

The tank must receive 225 m × 162 m × 0.2 m = 7290 m3 of water in 5 h, so the flow rate is 7290 m3 ÷ 5 h = 1458 m3/h. The aperture area is 0.6 m × 0.45 m = 0.27 m2, hence speed = 1458 m3/h ÷ 0.27 m2 = 5400 m/h. The likely wrong choice is 5200 m/h, caused by an arithmetic error in dividing by the aperture area.

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