SOLUTION: A man rode a bicycle for 12 miles and then hiked and additional 8 miles. The total time for the trip was 5 hours. If his rate when riding a bicycle was 10 miles per hour faster tha

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Question 528170: A man rode a bicycle for 12 miles and then hiked and additional 8 miles. The total time for the trip was 5 hours. If his rate when riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = rate walking
Let = rate biking
given:
mi/hr
hrs
--------------------
biking:

walking:

-------------------
By substitution:



By substitution again:

Substitution again:




Completing the square:




( can't use the negative root )
and


His speed biking was 12 mi/hr
His speed walking was 2 mi/hr

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