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    Question

    A goods train leaves a station at a certain time and at

    a fixed speed. After 9 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 112 km/hr, this train catches up the goods train in 7 hours. Find the speed of the goods train.
    A 49 km/hr Correct Answer Incorrect Answer
    B 77 km/hr Correct Answer Incorrect Answer
    C 84 km/hr Correct Answer Incorrect Answer
    D 42 km/hr Correct Answer Incorrect Answer
    E 63 km/hr Correct Answer Incorrect Answer

    Solution

    Let the speed of the goods train be ‘s’ km/hr Distance covered by goods train in 16 hrs = s x 16 km Distance covered by express train in 7 hrs = 7 x 112 km Distance covered by goods train in 16 hrs = Distance covered by express train in 7 hrs So, 16s = 7 × 112 ⇒ 16s = 784 ⇒ s = 784/16 = 49 So, Speed of goods train = 49 km/hr

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