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30 September, 11:13

Jim paddle from one shore of a lake three miles wide at 4 mph, and john paddles from the opposite shore at 5 mph. how long will they travel before they meet?

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  1. 30 September, 11:37
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    Let us assume that the distance travelled by Jim to meet John = X miles

    Then the distance travelled by John to meet Jim = (3 - X) miles

    We already know the equation

    Time = Distance travelled / Speed

    Then for Jim,

    Time = X/4

    For John

    Time = (3 - X) / 5

    As they meet, so they must have travelled the same amount of time.

    Then

    X/4 = (3 - X) / 5

    X = (12-4X) / 5

    5X = 12 - 4X

    9X = 12

    X = 12/9

    = 4/3

    = 1.33 miles

    Now our target is to find the amount of time after which Jim and John meet.

    Then

    Time = X/4

    = 1.33/4

    = 0.33325 hours

    = (0.33325 * 60) minutes

    = 19.995 minutes.

    So it can be safely assumed that Jim and John will meet after a period of 20 minutes.
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