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Water flows at 5 km per hour through a pipe of internal diameter 14 cm into a rectangular tank 50 m long and 44 m wide. How long will it take for the water level in the tank to rise by 7 cm? (Use π = 22/7.)

Competition practiceMensuration
  • A30 minutes
  • B2 hours
  • C20 hours
  • D200 hours

Step-by-Step Solution

The pipe's radius is 7 cm = 0.07 m, so its cross-section = sq m. At 5 km/ m/ the pipe delivers cubic m each hour. The tank needs 0.07 = 154 cubic m, so the time = 154/77 = 2 hours. The trap 30 minutes uses 14 cm as the radius, which quadruples the flow; 20 hours writes the 7 cm rise as 0.7 m; 200 hours writes it as 7 m.
Answer: B) 2 hours

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