SOLUTION: Two cars that are traveling towards each other are 455 miles apart. One car is traveling 10 miles per hour faster than the other car. The cars pass each other after 3.5 hours. Ho

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Question 323860: Two cars that are traveling towards each other are 455 miles apart. One car is traveling 10 miles per hour faster than the other car. The cars pass each other after 3.5 hours. How fast is each car traveling/
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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When t=0 hrs, D=455 miles.
When t=3.5 hrs, D=0 miles.
D=455-%28R1%2At%2BR2%2At%29
D=455-%28R1%2BR2%29t
455=%28R1%2BR2%29%283.5%29
1.R1%2BR2=130
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.
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You also know,
R2=R1%2B10
2.-R1%2BR2=10
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Add eq. 1 and eq. 2 together to eliminate R1,
R1%2BR2-R1%2BR2=130%2B10
2R2=140
R2=70mph
Then from eq. 2,
-R1%2B70=10
R1=60mph