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    In covering a distance of 144 km, Pranshu takes 3 hours more than Chandu. If Pranshu doubles his speed, then he would take 5 hour less than Chand
    Question

    In covering a distance of 144 km, Pranshu takes 3 hours more than Chandu. If Pranshu doubles his speed, then he would take 5 hour less than Chandu. Pranshu's speed is:

    A.

    4 km/h

    B.

    3 km/h

    C.

    16 km/h

    D.

    9 km/h

    Correct option is D

    Given:

    Distance = 144 km

    Pranshu’s time = Chandu’s time + 3 hours

    If Pranshu doubles speed, his time = Chandu’s time − 5 hours

    Formula Used:

    Time = Distance  Speed\frac{\text{Distance }}{\text{ Speed}}​​

    Solution:

    Let Pranshu’s speed = p km/h, Chandu’s speed = c km/h

    From conditions:
    144p=144c+3.....(1) 72p=144c5.......(2)​\frac{144}{p} = \frac{144}{c} + 3 .....(1) \\ \ \\​\frac{72}{p} = \frac{144}{c} - 5 .......(2)​​

    ​Subtract the second equation from the first:
    144p72p=(144c+3)(144c5)\frac{144}{p} - \frac{72}{p} = \left(\frac{144}{c} + 3\right) - \left(\frac{144}{c} - 5\right)​​

    72p=8\frac{72}{p} = 8​​

    p =728=9= \frac{72}{8} = 9

    Pranshu’s speed = 9 km/h.

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