SOLUTION: Jim began a 171-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 7 h
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Question 823750: Jim began a 171-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 7 hours. if Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
Jim rode for? hours. Found 2 solutions by TimothyLamb, josmiceli:Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
s = d / t
t = d / s
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ride:
d = distance ridden
t = d/30
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walk:
t = (171 - d)/4
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total trip time:
7 = d/30 + (171 - d)/4
7 = 4d/120 + 30(171 - d)/120
7*120 = 4d + 30(171 - d)
840 = 4d + 5130 - 30d
-4290 = -26d
d = 165
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answer:
time on bike:
t = 165/30
t = 5.5 hours
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You can put this solution on YOUR website! Let = miles walking
Let = hours spent walking = miles biking = hours spent biking
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Equation for biking:
(1)
Equation for walking:
(2)
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Substitute (2) into (1)
(1)
(1)
(1)
(1) hrs
5.5 hrs were spent on bicycle
