SOLUTION: Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 feet, what was the total distance he traveled?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 feet, what was the total distance he traveled?       Log On


   

Question 1011872: Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 feet, what was the total distance he traveled?
Thanks for helping and please show your work thank you!
Found 2 solutions by rfer, josgarithmetic:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 of the remaining 1/4=1/8 of the total
800/(1/8)=
800*8/1=6400 ft total
---------------
5280 ft in one mile
6400/5280=1.2 miles total

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The distance for the whole trip, d.

BUS:
d-3d%2F4, yet to travel

JOG:
d-3d%2F4-%281%2F2%29%28d-3d%2F4%29, yet to travel
-
d%281-3%2F4-%281%2F2%29%281-3%2F4%29%29
d%281-3%2F4-1%2F2%2B3%2F8%29
d%288%2F8-6%2F8-4%2F8%2B3%2F8%29
highlight_green%28d%281%2F8%29%29

WALK:
This "yet to travel" revision was then traveled and was given as 800 feet.
d%2F8=800
d=8%2A800
highlight%28d=6400%29----FEET