Question 994397: A woman can bicycle 92 miles in the same time as it takes her to walk 20 miles. She can ride 9 mph faster than she can walk. How fast can she walk?
Using r as your variable to represent the rate at which she walks, write an equation using the information as it is given above that can be used to solve this problem.
What's the equation needed to solve this problem?
How many mph does she walk?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A woman can bicycle 92 miles in the same time as it takes her to walk 20 miles. She can ride 9 mph faster than she can walk. How fast can she walk?
Using r as your variable to represent the rate at which she walks, write an equation using the information as it is given above that can be used to solve this problem.
What's the equation needed to solve this problem?
How many mph does she walk?
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Biking DATA:
dist = 92 miles ; rate = x+9 mph ; time = d/r = 92/(x+9) hrs
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Walking DATA:
dist = 20 miles ; rate = x mph ; time = d/r = 20/x hrs
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Equations:
time = time
92/(x+9) = 20/x
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92x = 20(x+9)
92x = 20x + 180
72x = 180
x = 2.5 mph (walking)
x+9 = 11.5 mph (biking)
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Cheers,
Stan H.
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