# math

posted by .

Jim Williamson began a 96-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 4 miles per hour and rides at 20 miles per hour, find the amount of time he spent on the bicycle.

• math -

time on bike = t hrs
time walking = 9-t hrs

distance on bike = 20t miles
distance walking = 4(9-t) mile

20t + 4(9-t) = 96

solve for t

## Similar Questions

1. ### MATH

Rate Problem: Mr. Stewart rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find the rate of walking and on …
2. ### college algebra

Solve the problem. A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was …
3. ### math

a round trip car ride took 12 hours. the first half of the trip took 7 hours at a rate of 45 miles per hour. what was the average rate of speed on the return trip?
4. ### MATH!

a round trip car ride took 12 hours. the first half of the trip took 7 hours at a rate of 45 miles per hour. what was the average rate of speed on the return trip?
5. ### math

a round trip car ride took 12 hours. the first half of the trip took 7 hours at a rate of 4 miles per hour. what was the average rate of speed on the return trip?
6. ### math

jim began a 131 mile bicycle trip to build up stamina for a triathlete competetion.unfortunately his bicycle chain broke, so he finished the trip walking. the whole trip took 4 hours. if jim walks at a rate of 3 miles per hour and …
7. ### pyhsis

A man walks half of his trip by 40km/hr and ride a bicycle the rest of his trip by 60km/hr. What is his average speed
8. ### Math

I have trouble solving distance rate problems. I have a worksheet that I want to complete. I will post one question in hopes that someone can break it down so I am able to solve other distance rate problems. (Step by Step please.) …
9. ### ALGEBRA

Jim began a 281​-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 …
10. ### algebra

alberto drove to the lake and back. the trip there took two hours and the trip back took three hours. he averaged 20 km/h faster on the trip there than on the return trip. What was alberto's average speed on the outbound trip?

More Similar Questions