Help with Algebra Word Problem?

I need help with a word problem on my homework it's:

"A speed boat traveled 60 miles with the current in 1 1/2 hours. The return trip took 2 hours against the current. What is the speed of the current?"

I know it's simple but I really need some help on this problem. Thanks!

1 Answer

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  • K
    Lv 5
    8 years ago
    Favorite Answer

    b= speed of boat in still water

    c = speed of current

    (time) x (speed) = distance and 1 1/2 hours = 1.5 hours

    1st equation

    1.5(b+c) = 60 (divide both sides by 1.5)

    b + c = 40

    2nd equation

    2(b-c) = 60 ( divide both side by 2)

    b - c = 30

    put equations on top of each other

    b + c = 40

    b - c = 30 ( now subtract)

    2c = 10

    c = 5 miles per hour

    substitute c=5 in to solve for b

    b +5= 40

    b = 35 miles per hour

    some free videos to help with this at

    http://www.kjaro.com/practice/category/72 ( linear systems - current questions )

    Hope that helps!

    .

    Source(s): . http://www.kjaro.com/ .
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