SOLUTION: Boris drove to the mountains last weekend and there was heavy traffic there. Trip took 9 hours. When Boris drove home there was no traffic and it took 4 hours. His average rate was

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Boris drove to the mountains last weekend and there was heavy traffic there. Trip took 9 hours. When Boris drove home there was no traffic and it took 4 hours. His average rate was      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1147720: Boris drove to the mountains last weekend and there was heavy traffic there. Trip took 9 hours. When Boris drove home there was no traffic and it took 4 hours. His average rate was 40 mph hiw far is the mountains to his home
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let "d" be one way distance, in miles.


Then the total distance was 2d, while the total time was 9+4 = 13 hours.


The average rate of 40 mph is the total distance 2d divided by the total time 13 hours.


Therefore, your equation is


    40 = %282d%29%2F13.


From the equation,  


    2d = 40*13,

     d = %2840%2A13%29%2F2 = 20*13 = 260 miles.


ANSWER.  One way distance is 260 miles long.

Solved.