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A truck covers a distance of …

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A truck covers a distance of 150km at a certain average speed and then covers another 200km at an average speed which is 20km/hr more than the first speed. If the truck covers the total distance in 5 hours find the first speed of the truck.

    • Posted by Aayushi Gurjar 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Let the average speed of truck be x km/h.
    {tex}\frac { 150 } { x } + \frac { 200 } { x + 20 } = 5{/tex}
    or, 150x + 3000 + 200x = 5x(x + 20)
    or, {tex}x ^ { 2 } - 50 x - 600 = 0{/tex}
    or, {tex}x ^ { 2 } - 60 x + 10 x - 600 = 0{/tex}
    or, {tex}x ( x - 60 ) + 10 ( x - 60 ) = 0{/tex}
    or, (x-60)(x + 10) = 0
    or, x = 60 ; or x = -10
    as, speed cannot be negative
    Therefore, x=60 km/h
    Hence, first speed of the truck = 60 km/h

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