It takes a 9 wagon−wagon train 12 seconds to pass a person standing outside. how many hours will it take the wagon train to pass a route of 216 kilometers, if the length of each wagon is 16 meters?

  5 hours 12 seconds

Step-by-step explanation:

For the entire train to pass the person, the head of the lead wagon must travel (9·16 m) in 12 seconds. It is traveling at a speed of ...

  (9·16 m)/(12 s) = (144/12) m/s = 12 m/s

For the train to travel 216 km + 144 m = 216,144 m will take ...

  (216,144 m)/(12 m/s) = 18,012 s = 5 hours 12 seconds

Comment on the speed

The speed of this "wagon train" is about 26.8 miles per hour, faster than any human and most animals can run for long periods. The Pony Express cross-country mail delivery service maybe set a reasonable standard for cross-country travel. Its average speed was about 10 miles per hour.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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