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    A diver rowing at the speed of 3 km/h in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the d
    Question

    A diver rowing at the speed of 3 km/h in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the diver downstream is:

    A.

    92km/h\frac{9}{2} km/h​​

    B.

    4km/h4 km/h​​

    C.

    72km/h\frac{7}{2} km/h​​

    D.

    103km/h\frac{10}{3} km/h​​

    Correct option is B

    Given: 

    Speed of the diver in still water = 3km/h 

    Time taken upstream = 2 ×\times time taken downstream     

    Distance both upstream and downstream = 50 km./h

    Solution:

    Let the speed of stream = x km/h

    503+x503x=12\frac{\frac{50}{3 +x}}{\frac{50}{3 - x}}= \frac{1}{2} 

    3x3+x=12\frac{3 - x }{3+x} = \frac{1}{2} 

    6 - 2x = 3 + x 

    3 = 3x 

    x = 1 km/h   

    Downstream speed =  3 + 1 = 4 km/h​

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