SOLUTION: Tracey drives to work at 50 mph and is 1 minute late. If she leaves at the same time and drives 55 mph, she�ll be 1 minute early. How far does Tracey live from work?

Question 558818: Tracey drives to work at 50 mph and is 1 minute late. If she leaves at the same time and drives 55 mph, she�ll be 1 minute early. How far does Tracey live from work?

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose Tracey takes x minutes to get to work (on time). Then it takes x+1 minutes going at 50 mph and x-1 minutes going at 55 mph. Since distance(D) = rate*time, we have

Therefore Tracey takes 22 minutes going at 50 mph and 20 minutes going at 55 mph. It can be checked that the total distance is equal in both cases, 55/3 or 18 1/3 miles.
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