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    Question

    Two cyclists, ‘P’ and ‘Q’, started from

    locations ‘L’ and ‘R’ towards each other at the same time. When they met after 4 hours, cyclist ‘Q’ had travelled 44 km more than cyclist ‘P’. Find the distance travelled by cyclist ‘P’ in 3 hours if the total distance between both locations is 244 km.
    A 60 km Correct Answer Incorrect Answer
    B 65 km Correct Answer Incorrect Answer
    C 70 km Correct Answer Incorrect Answer
    D 75 km Correct Answer Incorrect Answer
    E 80 km Correct Answer Incorrect Answer

    Solution

    Let distance travelled by cyclist ‘P’ at the time of meet = ‘x’ km
    So, distance travelled by cyclist ‘Q’ at the time of meet = ‘x + 44’ km
    According to question:
    x + x + 44 = 244
    Or, 2x = 200
    Or, x = 100
    Distance travelled by cyclist ‘P’ in 4 hours = 100 km
    Speed of cyclist ‘P’ = 100 / 4 = 25 km/h
    Distance travelled by cyclist ‘P’ in 3 hours = 25 × 3 = 75 km

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