SOLUTION: Solve the problem. Round your answer to the nearest tenth, if necessary. <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com/albums/j300/q43

Question 48144: Solve the problem. Round your answer to the nearest tenth, if necessary.

Found 2 solutions by cowess, JoelSchwartz:
Answer by cowess(34) (Show Source): You can put this solution on YOUR website!
Let's say his rate walking was X mph.
Then:

X= 92/50 = 46/25

Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
db = distance of the bicycle in miles
dw = distance of the hiker in miles
db=12
dw=8
tb=time traveled while biking in hours
tw=time traveled while hiking or walking in hours.
tw+tb=5
The time traveled walking plus the time traveling biking is equal to five hours.
rb= rate of the bicycle in miles per hour.
rw= rate of the walker in miles per hour.
rb=10+rw
The rate of the bicycle is equal to ten miles per hour plus the rate of the walker.
dw=tw*rw
8=tw*rw
db=tb*rb
12=tb(10+rw)
12=10tb+tbrw
tb=5-tw
12=10(5-tw)+rw(5-tw)
12=50-10tw+5rw-rwtw
12=50-10tw+5rw-8
12=42-10tw+5rw
-30=-10tw+5rw
3=tw-1/2*rw
3+1/2*rw=tw
tw*rw=8
rw(3+1/2*rw)=8
3rw+1/2*rw^2=8
1/2*rw^2+3rw-8=0
ac=-4
b=3
(1/2*rw+4)(rw-2)=0
((1/2*rw+4)(rw-2))/(1/2*rw+4)=0/(1/2*rw+4)
rw-2=0
rw=2
((1/2*rw+4)(rw-2))/(rw-2)=0/(rw-2)
1/2*rw+4=0
1/2*rw=-4
1/2*-8=-4
rw=-8
We use 2 because the rate has to be positive.
rb=10+rw
rb=10+2
rb=12
rb*tb=12
12*1=12
rw*tw=8
2tw=8
tw=4
tw+tb=5
4+1=5

RELATED QUESTIONS
Solve the problem, if possible. Round your answer to the nearest tenth, when... (answered by checkley71)
Solve the problem, if possible. Round your answer to the nearest tenth, when... (answered by checkley71)
Perform the indicated operation and expression lowest terms. Thanks for any help. (answered by CubeyThePenguin)
Perform the indicated operation and expression lowest terms. (answered by CubeyThePenguin)
Find the value of x. If necessary, round to the nearest tenth. (answered by Fombitz)
Find the value of "x", round your answer to the nearest tenth. (answered by checkley77)
Find the value of x. If necessary, round to the nearest tenth (answered by unlockmath)
Solve the problem. (answered by cowess)
Solve the equation for the indicated variable. (Leave � in your answer, when... (answered by Earlsdon)