SOLUTION: A woman can walk to work at a rate of 3.5 miles per hour, or she can bicycle to work at a rate of 14 miles per hour. If it takes her 45 minutes longer to walk than to ride, find th

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Question 1107551: A woman can walk to work at a rate of 3.5 miles per hour, or she can bicycle to work at a rate of 14 miles per hour. If it takes her 45 minutes longer to walk than to ride, find the time it takes her to walk to work.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
              speed       time      distance
WALK           3.5        d/3.5       d
BIKE          14          d/14        d
DIFFERENCE                 0.75

Time for walking is bigger than for bicycling.

Solve for d%2F3.5
-
d%2F3.5-d%2F14=0.75
d%281%2F3.5-1%2F14%29=0.75
d%2A28%281%2F3.5-1%2F14%29=28%2A%280.75%29
d%288-2%29=21
6d=21
d=21%2F6=%283%2A7%29%2F%283%2A2%29
d=7%2F2
d=3.5------miles, distance taken to work


ONE HOUR - TIME TO WALK TO WORK

3.5%2Amiles%2F%283.5%28miles%2Fhour%29%29=highlight_green%281%2Ahour%29