SOLUTION: Two cars leave from the same point at the same time, traveling in opposite directions. One traveling 15 mph slower than the other. After 6 hours, they are 630 miles apart. Find the

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Question 155355: Two cars leave from the same point at the same time, traveling in opposite directions. One traveling 15 mph slower than the other. After 6 hours, they are 630 miles apart. Find the rate of each car.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Remmeber:
x=speed%28mi%2Fhr%29
Car%5B1%5D=C%5B1%5D=x%28mi%2Fhr%29
Car%5B2%5D=C%5B2%5D=x-15%28mi%2Fhr%29
Adding the 2 speeds and equal to 630miles%2F6hours:
x%2Bx-15=630%2F6
2x=105%2B15
cross%282%29x%2Fcross%282%29=cross%28120%2960%2Fcross%282%29
x=60mi%2Fhr ------------------------------> speed of Car%5B1%5D
60-15=45mi%2Fhr --------------------------> speed of Car%5B2%5D
To check, let's add the 2 speeds after 6 hours, should equal to 630 miles:

360miles%2B270miles=630miles
630miles=630miles
Thank you,
Jojo