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Allison drove home at 66 mph, but her brother Austin, who left at the same time, could drive at only 48 mph. When Allison arrived, Austin still had 54 miles to go. How far did Allison drive?

  • algebra -

    They both drove for the same time of t hrs
    distance covered by Allison = 60t
    distance covered by Austin = 48t

    60t - 48t = 54
    12t = 54
    t = 54/12 = 4.5

    So they both drove for 4.5 hours
    and Allison went 270 miles

    (Austin went 4.5(48) or 216 miles, which is 54 miles less than Allison. )

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