SOLUTION: Ronnie walked at the speed of 2 kph and jogged at the speed of 4 kph. If he jogged 3 km farther than he walked and the total time for the trip was 3 h, how far did he walk and far

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Ronnie walked at the speed of 2 kph and jogged at the speed of 4 kph. If he jogged 3 km farther than he walked and the total time for the trip was 3 h, how far did he walk and far       Log On


   

Question 909180: Ronnie walked at the speed of 2 kph and jogged at the speed of 4 kph. If he jogged 3 km farther than he walked and the total time for the trip was 3 h, how far did he walk and far did he jog?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ronnie walked at the speed of 2 kph and jogged at the speed of 4 kph.
If he jogged 3 km farther than he walked and the total time for the trip was 3 h, how far did he walk and far did he jog?
:
let w = distance walked
then
(w+3) = distance jogged
:
Write a time equation; time = dist/speed
walk time + jog time = 3 hrs
w%2F2 + %28%28w%2B3%29%29%2F4 = 3
multiply the equation by 8
8*w%2F2 + 8*%28%28w%2B3%29%29%2F4 = 8*3
cancel the denominators
4w + 2(w+3) = 24
4w + 2w + 6 = 24
6w = 24 - 6
w = 18/6
w = 3 km walked
You can find the distance jogged, check by finding the time of each