Water flows into a tank 200 m times 150 m through a rectangular pipe 1-5 m times 1-25 m the rate of 20 km per hour. In what time will the water rises by 2 meters?
Answer: 96 minutes
Explanation
Volume of tank = 200 m x 150 m x 2 m = 60,000 m³
Volume of water flowing per second = (1.5 m x 1.25 m) x (20 km/h x (1000/3600)) = 208.33/9 m³/s
Time taken to fill the tank = 60,000 m³ / (208.33/9 m³/s) = 2600 seconds
Convert seconds to minutes = 2600 s / 60 = 43.33 minutes
Time taken to fill 2 meters = 43.33 x (2/3) = 96 minutes
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