Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

PLEASE solve this problem?

a fishing boat takes 3 hours to travel 15 miles off shore

to the fishing spot. it only takes 3/4 of an hour to return to shore. how fast could the boat travel in still water?

1 Answer

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  • 1 decade ago
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    Let:

    B be the speed of boat in still water

    C be the speed of the current

    We know from the information provided above that:

    3 * (B - C) = 15

    .75 * (B + C) = 15

    or

    (B - C) = 15/3 = 5

    (B + C) = 15/.75 = 20

    Solve for B in terms of C using the first equation:

    B = C + 5

    Substitute that into the second equation:

    (C + 5) + C = 20

    2C = 20 - 5

    C = 15/2

    C = 7.5

    Use our newfound value of C in the first equation:

    B - 7.5 = 5

    B = 12.5

    Therefore the boat in still water travels at 12.5 miles per hour.

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