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An Express train takes 1 hour …

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An Express train takes 1 hour less than a passenger train to travel 132 kilometre between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations).If the average speed of the express train is 11 kilometre per hour more than that of the passenger train,find the average speed of the two trains.

    • Posted by Prince Raj 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Let the speed of the passenger train be x km/hr. Then, the speed of express train will be (x + 11)km/hr
    Time taken by the express train to cover 132 km {tex} = \frac{{132}}{x+11}hrs{/tex}
    Time taken by the passenger train to cover 132 km {tex} = \frac{{132}}{x }hrs{/tex}

    According to the question ;
    {tex}\therefore \frac{{132}}{{x }} - \frac{{132}}{x+11} = 1{/tex}
    {tex}\Rightarrow \frac{{132(x+11) - 132x }}{{x(x +11)}} = 1{/tex}
    {tex}\Rightarrow{/tex} 132x - 132x + 1452 = x(x +11)
    {tex}\Rightarrow{/tex} 1452 = x2 + 11x
    {tex}\Rightarrow{/tex} x2 + 11x - 1452 = 0 , This is the required quadratic equation.

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