Question 1164009

Allison drove home at 68 mph, but her brother Austin, who left at the same time, could drive at only 44 mph. When Allison arrived, Austin still had 120 miles to go. How far did Allison drive?
<pre>Let distance Allison drove (distance home), be D
Then distance Austin drove, was D - 120
Then we get the following TIME equation: {{{matrix(1,3, D/68, "=", (D - 120)/44)}}}
{{{matrix(1,3, D/17, "=", (D - 120)/11)}}} ------ Factoring out GCF, 4, in denominator
11D = 17(D - 120)
11D = 17D - 17(120)
11D - 17D = - 17(120)
- 6D = - 17(120)
Distance Allison drove, or {{{highlight_green(matrix(1,8, D, "=", (- 17(120))/(- 6), "=", 17(20), "=", 340, miles))}}}