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The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?

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  1. 9 July, 12:46
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    900 min = 15 hours

    Step-by-step explanation:

    when we convert the velocities of the ships into miles / min we get

    45mph = 45m/60min = 0.75m/min

    36mph = 36m/60min = 0.6m/min

    The equations determining the distances of the ships from the port M (set at x=0) are

    D1 = 0.75t (for 45mph ship)

    D2 = 162 + 0.6 (t-45) (for 36mph ship)

    The solution to these equation lie at t = 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
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