SOLUTION: A woman can bicycle 88 miles in the same time as it takes her to walk 16 miles. She can ride 9 mph faster than she can walk. How fast can she walk?

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Question 1033227: A woman can bicycle 88 miles in the same time as it takes her to walk 16 miles. She can ride 9 mph faster than she can walk. How fast can she walk?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables and make a data table. 
             RATE        TIME        DISTANCE

BICYCLE      r+9          t           88

WALK         r            t           16


Basic travel rates rule is RT=D to relate speed, time, and distance.

Make the system of equations.
system%28%28r%2B9%29t=88%2Crt=16%29

The number t is the same for both equations, and you are interested in finding r.
system%28t=88%2F%28r%2B9%29%2Ct=16%2Fr%29

88%2F%28r%2B9%29=16%2Fr

88r=16%28r%2B9%29

88r=16r%2B16%2A9
44r=8r%2B8%2A9
11r=2r%2B2%2A9
9r=2%2A9
highlight%28r=2%29