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    Question

    A rectangular water tank is 80 m x × 40 m. Water flows

    into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is
    A 3/2 cm Correct Answer Incorrect Answer
    B 4/9 cm Correct Answer Incorrect Answer
    C 5/9 cm Correct Answer Incorrect Answer
    D 5/8 cm Correct Answer Incorrect Answer

    Solution

    given rectangular water tank is 80 m 40 m volume of rectangular water tank = volume of water filled by the pipe (area of pipe × speed of flow of water) volume of rectangular water tank = 8000x × 4000 {80 m = 8000 cm, 40 m = 4000 cm} 8000x× 4000 = 40 × 10 × 1000 × 100 {1km = 1000m, 1m = 100cm} x = 10/8 { height raised in 1 hr} height raised in 30 minutes = 5/8

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