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    Question

    Two runners, ‘M’ and ‘N’, started from opposite

    ends of a track towards each other at the same time. When they met after 3 hours, runner ‘N’ had travelled 27 km more than runner ‘M’. Find the distance travelled by runner ‘M’ in 2 hours if the total length of the track is 207 km.
    A 55 km Correct Answer Incorrect Answer
    B 60 km Correct Answer Incorrect Answer
    C 65 km Correct Answer Incorrect Answer
    D 70 km Correct Answer Incorrect Answer
    E 75 km Correct Answer Incorrect Answer

    Solution

    Let distance travelled by runner ‘M’ at the time of meet = ‘x’ km
    So, distance travelled by runner ‘N’ at the time of meet = ‘x + 27’ km
    According to question:
    x + x + 27 = 207
    Or, 2x = 180
    Or, x = 90
    Distance travelled by runner ‘M’ in 3 hours = 90 km
    Speed of runner ‘M’ = 90 / 3 = 30 km/h
    Distance travelled by runner ‘M’ in 2 hours = 30 × 2 = 60 km

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