Jim began a 168-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 6 hours. If Jim walks at a rate of 4 miles per hour and rides at 36 miles per hour, find the amount of time he spent on the bicycle. What amount of time did Jim spend on the bicycle?

Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.