Question

    Two trains ‘A’ and ‘B’ started from station

    ‘P’ and ‘Q’ towards station ‘Q’ and ‘P’ respectively at the same time. When they met after 12 hours, train ‘B’ has travelled 120 km more than train ‘A’. Find the distance travelled by train ‘A’ in 10 hours if distance between both stations is 708 km.
    A 150 km Correct Answer Incorrect Answer
    B 96 km Correct Answer Incorrect Answer
    C 245 km Correct Answer Incorrect Answer
    D 105 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let distance travelled by train ‘A’ at the time of meet = ‘x’ km So, distance travelled by train ‘B’ at the time of meet = ‘x + 120’ km According to question; x + x + 120 = 708 => 2x = 588 => x = 294 Distance travelled by train ‘A’ in 12 hours = 294 km Speed of train ‘A’ = 294/12 = 24.5 km/h Distance travelled by train ‘A’ in 10 hours = 10 × 24.5 = 245 km

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