SOLUTION: Two cars traveled in opposite directions from the same starting point. The rate of one car was 10km less than the rate of the other. After 4 hours the cars were 600km apart. Find t

Question 181898: Two cars traveled in opposite directions from the same starting point. The rate of one car was 10km less than the rate of the other. After 4 hours the cars were 600km apart. Find the speed of the train.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two cars traveled in opposite directions from the same starting point. The rate of one car was 10km less than the rate of the other. After 4 hours the cars were 600km apart. Find the speed of the train.
------------------------------
What train?
---------------
I'll assume you want the speeds of the cars.
The speed of the cars relative to each other is 600/4 = 150 kph. Going in opposite directions it's the sum of the 2 speeds.
s + f = 150 (slow + fast car)
s = f-10 (slower is 10 less than faster)
Sub for s into 1st eqn
f-10 + f = 150
2f = 160
f = 80 kph (faster car)
s = 70 kph (slower car)
RELATED QUESTIONS
two cars traveled in opposite directions from the same starting point. The rate of one... (answered by josmiceli)

two cars traveled in opposite directions starting from the same starting point. The rate... (answered by Fombitz)

Two cars traveled in oppostie directions from the same starting point. The rate of one... (answered by stanbon)

two cars traveled in opposite directions from the same starting point. The rate of one... (answered by ptaylor)

Two cars travel in opposite directions from the same point. The rate of one car is 10mph... (answered by nerdybill)

We're doing review now and i do not remember how to do words problems like this. Here is... (answered by richwmiller,josmiceli)

Two cars travel in opposite directions from the same starting point. The rate of one car (answered by checkley77)

Two trains traveled from opposite directions from the same starting point. The rate of... (answered by checkley77)