SOLUTION: In the morning Maria drove to a business appointment at 70 mph. Her average speed on the returning in the afternoon was 60 mph. The return trip took 1/3 hour longer because of heav

Algebra ->  Finance -> SOLUTION: In the morning Maria drove to a business appointment at 70 mph. Her average speed on the returning in the afternoon was 60 mph. The return trip took 1/3 hour longer because of heav      Log On


   



Question 1071428: In the morning Maria drove to a business appointment at 70 mph. Her average speed on the returning in the afternoon was 60 mph. The return trip took 1/3 hour longer because of heavy traffic. How far did she travel to appointment?
Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let  be the distance in one (in each) direction, in miles.

Then your governing equation is

D%2F60+-+D%2F70 = 1%2F3.

It is the "time equation". Each member of the equation is time.

To solve it, multiply both sides by 60*70. You will get

70D - 60D = 1400,  ---> 10D = 1400  ---> D = 1400%2F10 = 140.

Answer.  The distanse is 140 miles.