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OVERVIEW of additional lessons on Travel and Distance - section 3
Below is the list of my additional lessons on Travel and Distance problems (section 3) in this site
- Traveling on moving walkway
- Two ships in parallel courses in ocean at restricted visibility
- Three kids get home from school using a tandem bike and walk
List of additional lessons (section 3) with short annotations
Traveling on moving walkway
Problem 1. The speed of a moving walkway is typically about 2.5 feet per second.
Walking on such a moving walkway, it takes Judy a total of 40 seconds to travel 50 feet with the movement of the walkway
and then back against the movement of the walkway. What is Judy's normal walking speed?
Problem 2. The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway.
If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 seconds
less time than if he stands still on the moving walkway. If Jean Claude walks at a normal rate
of 1.5 meters per second, what is the speed of the Gare Montparnasse walkway?
Two ships in parallel courses in ocean at restricted visibility
Problem 1. On a day when visibility was limited to 2500 m, a ship of the Blue Line was traveling west,
on a parallel course to a ship of the White Line traveling east, with the courses 700 m apart.
The Blue Line ship's velocity was 10 km/h. If the ships were in sight of each other for 20 minutes,
what was the velocity, in km/h, of the White Line ship?
Three kids get home from school using a tandem bike and walk
Problem 1. Peter, Reeta and Nikita have two ways for getting home from school: cycle on a tandem bike or walk.
The bike can carry either one or two riders at a time.
Regardless of the number of people pedaling, cycling speed is 5 times walking speed.
The kids leave school at the same time and use the same path between school and home,
whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometers per hour.
One day, Peter and Nikita ride the bike and Reeta walks. Peter drops Nikita off at a certain point
leaving him to walk home. Meanwhile he returns to pick up Reeta and they cycle home together.
If all three arrive home at the same time, how far from school are the drop-off and pick-up points?
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