Question 235389
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
({{{(.25d)/w}}}) = 2({{{(.75d)/b}}})
:
({{{(.25d)/w}}}) = ({{{(1.5d)/b}}})
divide both sides by d
({{{(.25)/w}}}) = ({{{(1.5)/b}}})
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
{{{3/3}}} = 2({{{9/18}}})
1 = 1