SOLUTION: Two cars are 190 miles apart and travel toward each other along the same road. They meet in two hours. one car travels 5 mph slower than the other car. What is the average speed of

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Question 511745: Two cars are 190 miles apart and travel toward each other along the same road. They meet in two hours. one car travels 5 mph slower than the other car. What is the average speed of each car?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
When the two cars meet, they will have traveled a combined 190 miles.
d = 190 miles
.
t = 2 hr for both of them (given)
.
One car goes at rate = r.
.
The other goes at rate = r-5.
.
2r + 2(r-5) =190
.
2r +2r -10 = 190
4r = 200
r = 50
.
r-5 = 45
.
Answer: The cars travel at at average speeds of 50 mph and 45 mph.
.
Check the answer to see if they cover 190 miles combined.
2*50 = 100 miles
2*45 = 90 miles
Correct.
.
Done.