SOLUTION: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apar

Algebra ->  Systems-of-equations -> SOLUTION: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apar      Log On


   



Question 66474This question is from textbook Algebra 1
: Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apart?
THANK YOU!
This question is from textbook Algebra 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key is - the faster one will go further
in the same amount of time
d = distance the slower one goes
d + 72 = distance the faster one goes
d+%2F+30+=+t
%28d+%2B+72%29+%2F+46+=+t
d+%2F+30+=+%28d+%2B+72%29+%2F+46
30d+%2B+72%2A30+=+46d
16d+=+2160
d+=+135
d+%2F+30+=+t
135+%2F+30+=+t
t+=+4.5 hours for the slower one to go 135 miles
%28d+%2B+72%29+%2F+46+=+t
207+%2F+46+=+t
t+=+4.5 hours for the faster one to go 135 + 72 miles