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    ​A tank can be filled by 5 pipes in 80 minutes. How long will it take to fill the tank by 8 pipes of same dimensions? ​
    Question

    A tank can be filled by 5 pipes in 80 minutes. How long will it take to fill the tank by 8 pipes of same dimensions?

    A.

    50 minutes

    B.

    78 minutes

    C.

    128 minutes

    D.

    30 minutes

    Correct option is A

    Given:

    5 pipes can fill the tank in 80 minutes. 

    Solution:

    If 5 pipes take 80 minutes, then the rate for 1 pipe would be 5 times slower.

    Time for 1 pipe = 80×5 = 400 minutes 

    Since 8 pipes will fill the tank 8 times faster than 1 pipe: 

    Time for 8 pipes = 4008\frac{400}{8} = 50 minutes

    ​It will take 50 minutes for 8 pipes to fill the tank.

    Thus, correct answer is (a) 50 minutes

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