SOLUTION: John began a 164mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke so he finished the trip walking.The whole trip took 6 hour

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Question 1173516: John began a 164mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke so he finished the trip walking.The whole trip took 6 hours. If John walks at a rate of 4 miles per hour and rides at 44 miles per hour. find the amount of time he spent on the bike?




Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John began a 164mile bicycle trip to build up stamina for a triathlon competition.
Unfortunately, his bicycle chain broke so he finished the trip walking.
The whole trip took 6 hours.
If John walks at a rate of 4 miles per hour and rides at 44 miles per hour. find the amount of time he spent on the bike?
:
let b = time spent on the bike
the whole trip took 6 hr, therefore
(6-b) = time spent walking
:
Write a dist equation, dist = speed * time
bike dist + walking dist = 164 mi
44b + 4(6-b) = 164
44b + 24 - 4b = 164
44b - 4b = 164 - 24
40b = 140
b = 140/40
b = 3.5 hrs on the bike
:
:
Check this, (6 - 3.5 = 2.5 hrs walking)
44(3.5) = 154 mi
4(2.5) = 10 mi
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total dist 164