SOLUTION: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find the speed thier speeds if after 5 hours they a

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Question 169635: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find the speed thier speeds if after 5 hours they are 520 miles apart.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time=Distance
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The distance car 1 travels is,
R%5B1%5D%2At=D%5B1%5D
The distance car 2 travels is,
R%5B2%5D%2At=D%5B2%5D
The total distance traveled is the sum of these,
D=D%5B1%5D%2BD%5B2%5D
D=R%5B1%5D%2At%2BR%5B2%5D%2At
R%5B1%5D%2A%285%29%2BR%5B2%5D%2A%285%29=520
5%28R%5B1%5D%2BR%5B2%5D%29=520
Simplify.
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1.R%5B1%5D%2BR%5B2%5D=104
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You also know that one car is 4 mph faster than the other,
R%5B2%5D=R%5B1%5D%2B4
Substitute this information into eq. 1,
1.R%5B1%5D%2BR%5B2%5D=104
R%5B1%5D%2B%28R%5B1%5D%2B4%29=104
2R%5B1%5D%2B4=104
2R%5B1%5D=100
highlight%28R%5B1%5D=50%29
From above,
R%5B2%5D=R%5B1%5D%2B4
R%5B2%5D=50%2B4
highlight%28R%5B2%5D=54%29