SOLUTION: john and lisa live 600 miles apart . on a certain day, they leave their homes at the same time and drive towards each other. John drove 10 mph faster than Lisa. If they meet 5 hour

Question 787784: john and lisa live 600 miles apart . on a certain day, they leave their homes at the same time and drive towards each other. John drove 10 mph faster than Lisa. If they meet 5 hours after they started out, how fast did each one travel? How far did each of them travel?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent Lisa's rate and then

must represent John's rate.

Then there are two ways to look at this. If it took 5 hours for both of them to cover

miles, then the sum of their speeds must have been

. So then

. Solve for

Or you can say that the sum of their speeds is

and then that

. Again, solve for r.

You can check your work by doing it both ways. If you get two different answers, you have at least one arithmetic mistake.

For the second part of the question, Lisa traveled

miles and John traveled

miles, which is to say 50 miles farther than Lisa.

John

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My calculator said it, I believe it, that settles it

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