A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 5 feet per second. The elevator for the miners descends 17 feet per second. One​ day, the equipment elevator begins to descend. After 26 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 ​seconds? At that​ time, which elevator is​ deeper?

Respuesta :

5x26=130 5x16=80

130+80=210

-210 feet = the equipment elevators position after 32 seconds

17x16=272

-272 feet = the miners elevators position after 32 seconds

The miners elevator is deeper. The answers are negatives due to the position being relative to the surface.

After 16 seconds, the equipment elevator will be 210 feet under the ground while the miners' elevator will be 272 feet under the ground.

Since a gold mine has two elevators, one for equipment and another for the miners, and the equipment elevator descends 5 feet per second, while the elevator for the miners descends 17 feet per second, and one day, the equipment elevator begins to descend, and after 26 seconds, the elevator for the miners begins to descend, to determine what is the position of each elevator relative to the surface after another 16 seconds and, at that time, which elevator is deeper, the following calculations must be performed:

  • (26 x 5) + (16 x 5) = X
  • 130 + 80 = X
  • 210 = X
  • 16 x 17 = X
  • 272 = X

Therefore, after 16 seconds, the equipment elevator will be 210 feet under the ground while the miners' elevator will be 272 feet under the ground.

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