SOLUTION: Jim began a 144​-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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jim began a 144​-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      Log On


   



Question 1157187: Jim began a 144​-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 3 miles per hour and rides at 31 miles per​ hour, find the amount of time he spent on the bicycle.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x hours on the bike for distance 31x miles.
6-x hours walking for distance 3(6-x) miles or 18-3x
those two, 31x and 18-3x, add to 144 miles
28x=126 miles. units are m/h*h=m
x=4.5 hours on the bike for 139.5 miles
6-x=1.5 hours walking for 4.5 miles