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    The ratio of speed of P to speed of Q is 5:8, P covers D km distance in 3 hours and Q covers (D+40) km in 2.5 hours. If P increases his speed by 25%,
    Question


    The ratio of speed of P to speed of Q is 5:8, P covers D km distance in 3 hours and Q covers (D+40) km in 2.5 hours. If P increases his speed by 25%, then find the time taken by P to cover (D+180) km distance. (In hours)

    A.

    6

    B.

    5

    C.

    8

    D.

    7.5

    E.

    4.5

    Correct option is A


    Let the speed of P and Q be 5x kmph and 8x kmph respectively.
    ATQ,
    D=3×5x=15x ……..(I)
    Also, D+40=2.5×8x
    D=20x-40 …………..(II)
    Solving (I) and (II),
    15x=20x-40
    x=8
    So, D=15x=120 km
    Original speed of P=5x=40 kmph
    Required time

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