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Linear Equations: A car goes uphill …

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Linear Equations: A car goes uphill at a rate of 30kmph and downhill at the rate of 50kmph. After 15 hours, it has covered 650km. How long does it take to cover downhill and uphill?

    • Posted by S Aniruddh 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Let time taken for uphill journey = x hrs
    time taken for downhill journey = y hrs
    As per given condition
    Total time is 15 hours
    So,  x + y = 15 ..(i)
    and a car goes uphill at the rate of 30 km an hour and downhill at the rate of 50 km an hour. It has covered 650 km.
    So, 30x + 50y = 650 ..(ii)
    Multiplying eq. (i) by 30 and substracting from eq. (ii), we get
    20y = 650 - 450
    20y = 200
    y = 10
    Putting y = 10 in eq. (i), we get
    x + 10 = 15
    x = 5
    Downhill journey = 10 hours and uphill journey = 5 hours.

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