SOLUTION: Allison drove home at 66 mph, but her brother Austin, who left at the same time, could drive at only 52 mph. When Allison arrived, Austin still had 42 miles to go. How far did Alli

Question 1174120: Allison drove home at 66 mph, but her brother Austin, who left at the same time, could drive at only 52 mph. When Allison arrived, Austin still had 42 miles to go. How far did Allison drive?
Found 3 solutions by Boreal, ewatrrr, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
She was 14 mph faster and beat him by 42 miles, so she drove 3 hours
-
distance is speed*time
time is x for Allison
distance is 66x
that equals 52x+42 for Austin
66x=52x+42
14x=42
x=3 hours
distance is 198 miles
in 3 hours, Austin drove 156 miles, which is 42 miles fewer.
198 miles.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi, Allison - 66mi/hr and Austin- 52mi/hr When Allison arrived, Austin still had 42 miles to go 0r 42/52 hrs to go 66t = 52(t + 42/52) 14t = 42 t = 3hr Allison had driven (66mi/hr)(3hrs) = 198mi Wish You the Best in your Studies.

Answer by ikleyn(52903)   (Show Source): You can put this solution on YOUR website!
.

Another possible way to solve the problem is to use the "time" equation.

Let d be the distance under the question. Then you have this "time" equation = . To solve it, cross-multiply, then simplify 42d = 66*(d-42) 42d = 66d - 66*42 66*42 = 66d - 42d 66*42 = 14d d = = 66*3 = 198 miles. ANSWER

If you go this way, making equation is easy;
its solving is easy, too.

Another advantage is that you go straight way to your unknown quantity.

Solved.

RELATED QUESTIONS
Allison drove home at 70 mph, but her brother Austin, who left at the same time, could... (answered by ikleyn,solver91311)
Allison drove home at 62 mph, but her brother Austin , who left at the same time , could... (answered by ikleyn,ankor@dixie-net.com,greenestamps)
Allison drove home at 68 mph, but her brother Austin, who left at the same time, could... (answered by solver91311,MathTherapy,greenestamps)
Suzi drove home at 60 mph, but her brother Jim, who left at the same time, could drive at (answered by scott8148)
Suzi drove home at 60 mph, but her brother Jim, who left at the same time, could drive at (answered by ankor@dixie-net.com)
I am not quite sure how to even set this up. Suzi drove home at 60 mph, but her... (answered by funmath)
I am not quite sure how to even set this up. Suzi drove home at 60 mph, but her... (answered by ankor@dixie-net.com)
Allison and Rachel are taking a trip together. They decide to share the driving... (answered by josmiceli)
Mary and Tiffany left their university for their homes at the same time. Mary's home is... (answered by atif.muhammad)