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    A man reaches his destination 40 minutes late if his speed is 3 km/hr, and reaches 30 minutes before time, if his speed is 4 km/hr. Find the distance
    Question



    A man reaches his destination 40 minutes late if his speed is 3 km/hr, and reaches 30 minutes before time, if his speed is 4 km/hr. Find the distance of his destination from his starting point

    A.

    13 km

    B.

    14 km

    C.

    15 km

    D.

    16 km

    Correct option is B


    Given:
    If man speed is 3km/hr he is 40 minutes late
    If man speed is 4km/hr he is 30 minutes early
    Formula Used:
    Distance=Speed×Time
    Solution:
    Let the distance to school be D
    Then time taken to reach school at 3km/hr =D/3
    Time taken to reach school at 4 km/hr = D/4
    Difference in time taken = D/3 - D/4 = 40+30 min
    Converting minutes to hour
    D/3 - D/4 = 70/60
    (4D-3D)/12=7/6
    D/12 =7/6
    D= 12 ×7/6
    D=14km

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