SOLUTION: A woman can walk to work at a rate of 3 mi/hr, or she can bicycle to work at a rate of 12 mi/hr. If it takes her 1 h longer to walk than to ride, find the time it takes her to walk

Question 828385: A woman can walk to work at a rate of 3 mi/hr, or she can bicycle to work at a rate of 12 mi/hr. If it takes her 1 h longer to walk than to ride, find the time it takes her to walk to work.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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s = d/t
t = d/s
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time to ride:
t = d/12
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time to walk:
t + 1 = d/3
t = d/3 - 1
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d/12 = d/3 - 1
1 = d/3 - d/12
1 = 12d/36 - 3d/36
1 = 9d/36
9d = 36
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d = 4 miles
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time to ride:
t = 4/12
t = 1/3
t = 20 minutes
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answer:
time to walk = t + 1 = 1 hour and 20 minutes
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