SOLUTION: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk?

Algebra ->  Equations -> SOLUTION: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk?      Log On


   

Question 178794: Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate is 5 miles per hour faster than his walking rate. At what rate does he walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
can walk 8 miles in the same time it takes him to jog 12 miles.
His jogging rate is 5 miles per hour faster than his walking rate.
At what rate does he walk?
:
let r = his walking rate
then
(r+5) = his jogging rate
:
It says the times are equal, write a time equation; time = dist%2Fspeed
:
jogging time = walking time
12%2F%28%28r%2B5%29%29 = 8%2Fr
cross multiply and you have
12r = 8(r+5)
12r = 8r + 40
12r - 8r = 40
4r = 40
r = 10 mph is his walking speed (unrealistic)
and
15 mph is his jogging speed (also unrealistic, that's a 4 min mile!)
;
:
Check to see of the times are equal
12/15 = .8 hr
8/10 = .8 hr; confirms our solution