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    Question

    A goods train departs from Jaipur towards Udaipur at

    6:00 PM, while a passenger train leaves Udaipur for Jaipur at 9:00 PM. The two trains meet at Jaisalmer station at 11:00 PM. The speed of the passenger train is 35% less than that of the goods train. If the distance between Jaipur and Udaipur is 1890 km, what is the speed of the passenger train?
    A 195 km/h Correct Answer Incorrect Answer
    B 185 km/h Correct Answer Incorrect Answer
    C 175 km/h Correct Answer Incorrect Answer
    D 165 km/h Correct Answer Incorrect Answer

    Solution

    Let the speed of goods train be X km/h

    Speed of passenger train = 0.65X km/h

    Distance travelled by goods train in 3 hours = 3X

    Relative Speed = X + 0.65X = 1.65X km/h

    According to question,

    (1890 – 3X)/1.65X = 2

    1890 – 3X = 3.3X

    6.3X = 1890

    X = 300 km/h

    Speed of passenger train = 300 × 0.65 = 195 km/h

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