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    Question

    Two trains started from stations ‘A’ and ‘B’ at

    same time and started travelling towards each other at speeds of 45 km/hr and 30 km/hr, respectively. At the time of their meeting, the faster train has travelled 117 km more than the slower train. Find the distance between the stations ‘A and ‘B’.
    A 585 km Correct Answer Incorrect Answer
    B 525 km Correct Answer Incorrect Answer
    C 535 km Correct Answer Incorrect Answer
    D 575 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the distance travelled by slower train be ‘x’ km So, distance travelled by faster train = ‘x + 117’ km ATQ, (x/30) = {(x + 117)/45} Or, 45x = 30x + 3510 Or, 15x = 3510 So, x = 234 Total distance between station ‘A’ and station ‘B’ = (234 + 234 + 117) = 585 km

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