SOLUTION: 2 cars take the same route from point A to point B. One's average speed is 30 mph faster than the other. One car travels for 6 hours and the other for 3 hours. How far is it from p

Question 1031712: 2 cars take the same route from point A to point B. One's average speed is 30 mph faster than the other. One car travels for 6 hours and the other for 3 hours. How far is it from point A to point B?
Now, my answer is 180 miles. I was able to easily solve that in my head. Can you please tell me how to write that in an equation...
Thank you in advance!
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
distance = time x rate
rate for car 1 = x
rate for car 2 = x + 30
time for car 1 = 6 hours
time for car 2 = 3 hours (the faster car takes less time)
.
Since distance is the same:
rate car 1 x time car 1 = rate car 2 x time car 2
(x)(6)=(x+30)(3)
6x=3x+90 . Subtract 3x from each side.
3x=90 . Divide each side by 3.
x=30
.
The rate for car 1 is 30 mph. After 6 hours, the car has traveled 180 miles
The rate for car 2 is (30mph+30mph)=60 mph After 3 hours, the car has traveled 180 miles.

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