Question

a gold mine has two elevators, one for equipment and another for the miners. the equiment elavator desenco ndes 4 feet per second. the evalvator for miners desends 15 feet per sencond. one day,the eqitment elavtor begines to decend. After 19 seconds, the elavortor for miners begines to decend.what id the postition of each elavtor relative to the serface after another 18 seconds? At that time, Which elevator is deeper?

Answer 1

• equipment: 148 ft down
• miners: 270 ft down
• miners are deeper

Explanation:

You want to know the position of each of two elevators if the equipment elevator descends at 4 ft/s and the miners' elevator descends at 15 ft/s. The latter starts 19 seconds after the equipment elevator, and the time of interest is 18 seconds after the miners' elevator starts.

Time

The equipment elevator has been descending 19+18 = 37 seconds at the time of interest. At 4 ft/s, its depth is ...

(37 s)×(4 ft/s) = 148 ft . . . . . below the surface

At the time of interest, the miners' elevator has been descending 18 s. At 15 ft/s, its depth is ...

(18 s)×(15 ft/s) = 270 ft . . . . . below the surface

The equipment elevator is 148 feet down; the miners' elevator is 270 ft down, so it is deeper.

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