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    Question

    Two cars, ‘X’ and ‘Y’, started from town ‘M’

    and ‘N’ respectively towards each other at the same time. When they crossed paths after 6 hours, car ‘Y’ had covered 90 km more than car ‘X’. What distance did car ‘X’ cover in 4 hours if the total distance between the towns is 510 km?
    A 196 km Correct Answer Incorrect Answer
    B 160 km Correct Answer Incorrect Answer
    C 140 km Correct Answer Incorrect Answer
    D 185 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let distance travelled by car ‘X’ at the time of meeting = ‘x’ km

    So, distance travelled by car ‘Y’ at the time of meeting = ‘x + 90’ km

    According to question;

    x + x + 90 = 510

    Or, 2x = 420

    Or, x = 210

    Distance travelled by car ‘X’ in 6 hours = 210 km

    Speed of car ‘X’ = 210 / 6 = 35 km/h

    Distance travelled by car ‘X’ in 4 hours = 35 × 4 = 140 km

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