Homework Help: algebra

Posted by reese on Tuesday, January 22, 2013 at 8:43pm.

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 - Reiny, Tuesday, January 22, 2013 at 9:42pm
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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