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    A 2 m deep and 21 m wide river is flowing at the rate of 5 km/h. How many kilolitres of water will fall into the sea in 10 min?
    Question

    A 2 m deep and 21 m wide river is flowing at the rate of 5 km/h. How many kilolitres of water will fall into the sea in 10 min?

    A.

    35000 kl

    B.

    3500 kl

    C.

    350 kl

    D.

    33000 kl

    Correct option is A

    Given:
    Dimension of river = 2m deep and 21m wide.
    Speed of river = 5kmph
    Formula used :
    Area of river = depth × width
    Solution:
    Flow speed of the river 5 km/h,
    we convert this to meters per minute: 5 km/h=5000 m/h
    In minutes:
    5000 m/h÷60 =83.33 m/min
    Distance the water travels in 10 min .
    D = 83.33m/min×10min =833.3m
    area of the river:
    A = depth × width
    A = 2m × 21m
     = 42m2
    Volume V of water flowing in 10 minutes:
    V =  a × d
    V =  42m2 × 833.3m
    = 35000m3
    Since 1 m3=1 kilolitre
     35000m3 = 35000kl
    Alternate solution:
    Area of river = 2 × 21 = 42 sq.m
    Flow rate = 5kmph = 500060\frac{5000}{60}​ = 2503\frac{250}3​ m/min
    Amount of water that falls into the sea in 10 minute = area of river × flow rate × 10
     = 42 × 2503\frac{250}3​ × 10
    = 35000 m3
    = 35000 kl

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