SOLUTION: I had a flat tire after biking 3/4 of the way home. I walked the rest of the way home. if my walking time was twice my biking time, how many times faster is my biking speed than my

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Question 235389: I had a flat tire after biking 3/4 of the way home. I walked the rest of the way home. if my walking time was twice my biking time, how many times faster is my biking speed than my walking speed ?
a) 6 b) 5 c) 4 d) 3 e) 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
had a flat tire after biking 3/4 of the way home.
I walked the rest of the way home.
if my walking time was twice my biking time, how many times faster is my biking speed than my walking speed?
:
Let w = walking speed
Let b = biking speed
Let d = distance to his home
:
Write a time equation, Time = dist/speed
:
Walking time = twice biking time
(%28.25d%29%2Fw) = 2(%28.75d%29%2Fb)
:
(%28.25d%29%2Fw) = (%281.5d%29%2Fb)
divide both sides by d
(%28.25%29%2Fw) = (%281.5%29%2Fb)
cross multiply
1.5w = .25b
multiply both sides 4
6w = 1b
or
b = 6w
:
Biking speed is 6 times walking speed
;
:
Is this really true?
check equation if walking speed is 3 mph & biking speed is 18 mph
and dist = 12 mi, then: 1/4 = 3 mi; and 3/4 = 9 mi
:
walk time = twice ride time
3%2F3 = 2(9%2F18)
1 = 1