Question

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 14 feet per second. One​ day, the equipment elevator begins to descend. After 22 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that​ time, which elevator is​ deeper?

Answer 1

the equipment elevator is 76 feet below the surface, and the miners' elevator is 266 feet below the surface. The miners' elevator is deeper than the equipment elevator after 19 seconds.

Explanation:

Let's calculate the positions of each elevator after 19 seconds from their respective starting points.

For the equipment elevator:

Distance descended = Speed * Time

Distance descended = 4 ft/s * 19 s = 76 ft

For the miners' elevator (which started 22 seconds later):

Distance descended = Speed * Time

Distance descended = 14 ft/s * 19 s = 266 ft

Now, let's find out which elevator is deeper after 19 seconds. The equipment elevator descended 76 feet, and the miners' elevator descended 266 feet.