SOLUTION: Boris can jog to work in 2/3 of an hour. When he rides his bike, it takes him 1/4 of an hour. If he rides 9 miles per hour faster than he jogs, how far away is his work?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Boris can jog to work in 2/3 of an hour. When he rides his bike, it takes him 1/4 of an hour. If he rides 9 miles per hour faster than he jogs, how far away is his work?      Log On


   

Question 373386: Boris can jog to work in 2/3 of an hour. When he rides his bike, it takes him 1/4 of an hour. If he rides 9 miles per hour faster than he jogs, how far away is his work?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let j = jogging rate, r = riding rate.
Then 2j%2F3+=+r%2F4, or j+=+3r%2F8. Also r = j + 9.
r+=+3r%2F8+%2B+9,
5r%2F8+=+9, or r = 14.4 miles per hour, his riding rate.
j = 5.4 miles per hour, his jogging rate.