SOLUTION: Two cars leave the same parking lot at noon, One car drives 30 mph faster than the second car, which is driving due west. At what time will they be 1200 miles apart?

Question 629556: Two cars leave the same parking lot at noon, One car drives 30 mph faster than the second car, which is driving due west. At what time will they be 1200 miles apart?
Found 2 solutions by richwmiller, Charles3475:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Not enough info. What direction is the other car going? And which is going due west. Your grammar is confusing.
Answer by Charles3475(23) (Show Source): You can put this solution on YOUR website!
You said the second car is headed west. You did not say which direction the first car is headed.

If both cars are headed west, they separate at 30 mph; so the time to separate 1200 miles would be 30 * (h) = 1200, where h is the elapsed time in hours. Solving for h we find it takes 40 hours.

If the first car is headed East and the second car is headed West, we don't know the speed of either car. Assuming car two travels at x and car one travels at x+30; then the equation becomes (x + (x+30)) * h = 1200. Solving for h we find h = 1200/(x+(x+30)).

If they are driving in other directions (say north and west), this becomes a more complicated problem.
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