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31 August, 19:31

Two boats leave port at the same time. One goes west and the other south. The speed of the southbound boat is 5 mph more than the westbound boat. After 3 hours the boats are 27 miles apart. Find the speed of the southbound boat. Round to the nearest tenth of a mile per hour.

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  1. 31 August, 20:08
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    Westbound boats speed = X

    Southbound boats speed = X + 5

    In 3 hours they are 27 miles apart:

    3X + 3 (x+5) = 27

    Simplify:

    3x + 3x + 15 = 27

    Combine like terms:

    6x + 15 = 27

    Subtract 15 from both sides:

    6x = 12

    Divide both sides by 6:

    x = 12/6

    x = 2

    Westbound was 2 miles per hour

    Southbound was 2 + 5 = 7 miles per hour

    Check:

    2 miles per hour x 3 hours = 6 miles

    7 miles per hour x 3 hours = 21 miles

    21 + 6 = 27 miles
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