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Algebra

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on a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/hr relative to the riverbank. on the return trip downstream (with the current), her average speed was 3 mi/hr. find rita's paddling speed in still water and the speed of the river's current.

dealing w/- substitution and elimination

  • Algebra -

    let w be the water speed
    let b be the boat speed in still water.

    b-w=2
    b+w=3

    solve. I would add the two equations to eliminate w.

  • Algebra -

    b-w=2

    b+w=3 (transpose)
    b=3-w (substitute)
    3-w-w=2 (combine like terms)
    -2w=-1 (cancel -2)
    w= 1/2

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