SOLUTION: Jim Williamson began a 96-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole t

Question 640952: Jim Williamson began a 96-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 4 miles per hour and rides at 20 miles per hour, find the amount of time he spent on the bicycle.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours he spent walking
= time in hours he spent on bike
Let = distance Jim walked in miles
= distance in miles he biked
Equation for walking:
(1)
Equation for biking:
(2)
---------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)

Jim's time spent on bike is 4 and a half hours
check:
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
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