SOLUTION: Two cars are 192 miles apart and travel toward each other along the same road. They meet in 2 hours. One car travels 4 miles per hour faster than the other car. What is the speed o

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Question 717502: Two cars are 192 miles apart and travel toward each other along the same road. They meet in 2 hours. One car travels 4 miles per hour faster than the other car. What is the speed of the slower car?
Answer by jndarrell(58) About Me  (Show Source):
You can put this solution on YOUR website!
Create your D=RT box chart and fill in appropriately with the following data derived from your problem:
Car A
Rate: x
Time: 2
Car B
Rate: x+4
Time: 2
Always remember, when a problem provides you with a total distance, whether it be distance between two objects or total distance they are to travel...a total is a total. You will take the sum of the two objects R*T and set them equal to the total distance. See below:
2x + 2(x+4) = 192
Distribute
2x + 2x+8 = 192
Simplify
4x+8=192
Subtract 8 from both sides to get the x term alone
4x=184
Divide both sides by 4 to get x alone
x=46
Check:
Take your D=RT formula and plug it into the equation created
2(46) + 2(46+4) = 192
92+100=192
192=192 CHECK CORRECT!!!
Don't forget the units (hours) when providing your solution as well as double checking what the problem asked you for. In this case it asked for the slower car: 46mph
:)