SOLUTION: A car traveled 120 miles at a certain avarage rate. By increasing its avarage rate by 10mph, it traveled 160 miles in the same time it traveled the 120-mile trip. Find its average

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Question 349610: A car traveled 120 miles at a certain avarage rate. By increasing its avarage rate by 10mph, it traveled 160 miles in the same time it traveled the 120-mile trip. Find its average rate on the first trip. Show your work.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Rate*Time=Distance
R%2At=D
.
.
.
First part of the trip:
1.R%5B1%5D%2At%5B1%5D=120
.
.
Second part of the trip:
2.%28R%5B1%5D%2B10%29%2At%5B1%5D=160
Solve for t%5B1%5D
R%5B1%5D%2At%5B1%5D%2B10%2At%5B1%5D=160
120%2B10%2At%5B1%5D=160
10%2At%5B1%5D=40
highlight%28t%5B1%5D=4%29
.
.
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Then from eq. 1,
R%5B1%5D%2A4=120
R%5B1%5D=30mph