SOLUTION: Solve the problem. Round your answer to the nearest tenth, if necessary.
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-> SOLUTION: Solve the problem. Round your answer to the nearest tenth, if necessary.
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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
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