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    A boat takes 15 hours for travelling D km downstream and (D + 15) km upstream. If the boat takes 13 hours for covering (D – 15) km downstream and (D +
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    A boat takes 15 hours for travelling D km downstream and (D + 15) km upstream. If the boat takes 13 hours for covering (D – 15) km downstream and (D + 10) km upstream and the speed of stream is 5 km/hr then, find time(in hours) taken by the boat to cover (D + 60) km in downstream?

    A.

    5

    B.

    9

    C.

    6

    D.

    8

    E.

    7

    Correct option is E


    Let speed of boat in still water be S kmph
    D/(S+5)+(D+15)/(S-5)=15 …………..(1)
    (D-15)/(S+5)+(D+10)/(S-5)=13 …………..(2)
    From 1 & 2
    S=10 & D=45
    Required time = (45+60)/(10+5)= 7 hours

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