Question

Jim began a 208​-mile 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 7 hours. If Jim 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 bicycle.

Answer 1

4.5 hours

Step-by-step explanation:

Let the time for the bicycle be t, then the time for walking is 7 - t

Distance for walking is 4*(7 - t)

Distance for cycling is 44*t

Total distance 4*(7 - t) + 44t = 208

28 - 4t + 44t = 208

40t = 208 - 28 = 180

so t = 180/40 = 4.5 hours.