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Algebra

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Tom drove to Easton from home at 50 mph. His return trip took 30 minutes longer because he ran into traffic and could only drive 45mph. How many miles is it from Tom's home to Easton? Express answer as a decimal.

  • Algebra -

    D = RT (Distance = Rate x Time)
    50 = rate going
    T = time going
    50T = distance going

    45 = rate returning
    T + .5 = time returning (30/60 = .5h)
    45(T + .5) = distance returning

    Distances are equal
    50T = 45(T + .5)
    50T = 45T + 22.5
    5T = 22.5
    T = 4.5 h

    50T = distance going
    50(4.5) = 225 miles

    Answer as a decimal?

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