Question

Challenge

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 23 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 15 ​seconds? At that​ time, which elevator is​ deeper?

Answer 1

a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet

b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator

Explanation:

Equipment elevator speed=4 feet per second

Miner elevator=14 feet per second

Total time of miner elevator=(23+15)=38 seconds

Total time of equipment elevator=15 seconds

a). Distance from the surface of each elevator

Distance from the surface of miner elevator=Miner Speed×Miner Time

Distance=(14×38)=532 feet

Distance from the surface of equipment elevator=Equipment Speed×Equipment Time

Distance=(15×4)=60 feet

b). Which elevator is deeper

Distance from the surface of miner elevator=532 feet

Distance from the surface of equipment elevator= 60 feet

Difference=(532-60)=472 feet

The miner elevator is deeper since it is 472 feet deeper than the equipment elevator