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13 June, 17:58

Carter Ian and Jaden walked at a speed of 36 m/min, 42 m/min, and 48 m/min respectively. Carter and Ian started walking from village x to village y at the same time while Jaden walked from Village y to village x. Jaden passed carter 10 minutes after passing Ian. Find the distance between the villages in kilometers.

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  1. 13 June, 21:50
    0
    12.6 km

    Step-by-step explanation:

    Two people going towards each other meet at the time:

    t = d / (v1+v2)

    where:

    d is the distance between the people (here, the distance between the villages) v1 and v2 are the velocities of each person.

    When Ian and Jaden meet:

    t1 = d / (42+48) (d is in meters and t is minutes)

    When Carter and Jaden meet:

    t2 = d / (36+48)

    Jaden passed carter 10 minutes after passing Ian, therefore:

    t2 - t1 = d/84 - d/90 = 10

    6d/7560 = 10

    d = 10*7560/6

    d = 12600 m = 12.6 km
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