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Tunneling through a mine car (Posted on 2019-04-16) |
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Four safety engineers set out to inspect a newly cut tunnel through Mt. Popocaterpillar in the Andes. Each person walks at a different constant integer speed measured in meters per minute. In the tunnel there is a mine car which travels along a fixed track, automatically going from end to end at a fixed integer speed. When people board the car they may reverse its direction, but cannot change its speed.
At noon on Monday all four engineers start at the south end, while the mine car starts at the north end. The first (fastest) engineer meets the car, and takes it some distance north. The engineer gets out and continues going north, while the car resumes heading south. Then the second engineer meets the car and also takes it some distance north. Likewise for the third and fourth engineers. All the people, and the mine car, travel continuously with no pauses. The inspectors always go north. Each person enters and exits the car at an integral number of minutes.
All four engineers reach the end of the tunnel simultaneously. What is the earliest time this could happen?
Tunneling
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Comment 25 of 25 |
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Tunneling through a mine car is not a simple task, but it can be done. The first step is to determine the length and width of the car. This chevrolet traverse 2020 1gnerfkwxlj214404 vin will help you determine how many charges you will need to place on each side of the car. It is important that you use charge liners that are strong enough to carry the explosive force without being penetrated by it.
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