SOLUTION: Two cars start together and travel in the same direction. One car goes twice as fast as the other. After five hours, they are 275 kilometers apart. How fast is each car traveling?

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Question 297576: Two cars start together and travel in the same direction. One car goes twice as fast as the other. After five hours, they are 275 kilometers apart. How fast is each car traveling?
Answer by marcsam823(57) About Me  (Show Source):
You can put this solution on YOUR website!
This is a rate/time/distance problem so we will use the following formula:
Rate x Time = Distance
Establish your terms:
Let r = the rate of speed of car A
Let 2r = the rate of speed of car B (remember, one car is going twice as fast as the other)
Using the formula rate x time = distance
Let 5r = the distance car A travels after 5 hours
Let 5(2r) = 10r = the distance car B travels after 5 hours
Since car B is the faster car it will have travelled farther after 5 hours so:
Distance car B travels - distance car A travels = 275
Using our terms from above:
10r+-+5r+=+275
5r+=+275
r+=+55+kph
and
2r+=+110+kph
Car A is travelling at 55 kph and car B is tavelling at 110 kph.