Question

    Two trucks, ‘P’ and ‘Q’, start from locations

    ‘U’ and ‘V’ respectively, moving towards each other at the same time. After 10 hours they meet, and truck ‘Q’ has covered 180 km more than truck ‘P’. If the total distance between U and V is 780 km, how far did truck ‘P’ go in 6 hours?
    A 196 km Correct Answer Incorrect Answer
    B 160 km Correct Answer Incorrect Answer
    C 140 km Correct Answer Incorrect Answer
    D 180 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let distance travelled by truck ‘P’ = ‘x’ km

    Then, distance travelled by truck ‘Q’ = ‘x + 180’ km

    According to question;

    x + x + 180 = 780

    Or, 2x = 600

    Or, x = 300

    Distance travelled by truck ‘P’ in 10 hours = 300 km

    Speed of truck ‘P’ = 300 / 10 = 30 km/h

    Distance travelled by truck ‘P’ in 6 hours = 30 × 6 = 180 km

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