SOLUTION: ed rode his bike for 2 more hours than ann rode hers. ed traveled 24 miles, and ann traveled 6 miles. if they both rode at the same speed, for what length of time did ed ride his b

Algebra ->  Rate-of-work-word-problems -> SOLUTION: ed rode his bike for 2 more hours than ann rode hers. ed traveled 24 miles, and ann traveled 6 miles. if they both rode at the same speed, for what length of time did ed ride his b      Log On


   

Question 966872: ed rode his bike for 2 more hours than ann rode hers. ed traveled 24 miles, and ann traveled 6 miles. if they both rode at the same speed, for what length of time did ed ride his bike
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ed rode his bike for 2 more hours than Ann rode hers.
Ed traveled 24 miles, and Ann traveled 6 miles.
If they both rode at the same speed, for what length of time did Ed ride his bike?
:
let t = Ed's riding time
Ann rode 2 hrs less, therefore
(t-2) = Ann's riding time
:
Write a speed equation; Speed = dist/time
they rode the same speed
:
24%2Ft = 6%2F%28%28t-2%29%29
cross multiply
6t = 24(t-2)
6t = 24t - 48
48 = 24t - 6t
48 = 18t
t = 48/18
t = 22%2F3 hrs, Ed's riding time
:
:
Confirm this, find the speed of each, they should be equal.
Ed: 24/2.67 ~ 9 mph
Ann: 6/.67 ~ 9 mph; (rode two hrs less)