SOLUTION: 1 car travels 300 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 275 miles. what are the speeds of the cars?

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Question 748447: 1 car travels 300 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 275 miles. what are the speeds of the cars?
Answer by nilan(17) About Me  (Show Source):
You can put this solution on YOUR website!
let the speed of first car is x
then the speed of second car is x-5
then the time takes by the first car
speed+=+distance%2Ftime
x=300%2Ftime
time=+300%2Fx
time takes by the second car
speed+=+distance%2Ftime
x-5=275%2Ftime
time=+275%2F%28x-5%29
as given that this two time are equal
300%2Fx=+275%2F%28x-5%29
300%28x-5%29=275x
12%28x-5%29=11x
12x-60=11x
12x-11x=60
x=60
so the speed of two cars are 60mph and 55mph