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    Question

    A train covers a distance between stations Dehradun to

    Rudrapur in 90minutes. If the speed is reduced by 10 km/hr, it will cover the same distance in 96 minutes. What is the distance between the two stations (in km)? Also find the speed of train?
    A 120km/hr, 240km Correct Answer Incorrect Answer
    B 150km/hr, 200km Correct Answer Incorrect Answer
    C 160 km/hr, 240 km Correct Answer Incorrect Answer
    D 100km/hr, 220km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Suppose the distance is x km and┬а Speed of the train is y km/hr Thus, we have two relations: x/y = 90/60 x = 3/2 y┬а ┬а ┬а ┬а тАжтАжтАжтАж(i) x/(y-10) = 96/60 x/(y-10) = 8/5┬а ┬а ┬а тАжтАжтАжтАж.(ii) From (i) and (ii), 3/2 y┬а = 8/5┬а (y тАУ 10)┬а 3/2 y┬а - 8/5 y = - 16 (15y -┬а 16y)/10 = - 16 (-y)/10= -16┬а y = 160 Therefore, speed = 160 km/hr and┬а Distance, x =┬а 3/2 y =┬а ┬а3/2├Ч 160 = 240 km┬а ┬а ┬а

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