The travel time it takes elevator A to reach height in meters is 0.8h+16 seconds. The travel time it takes elevator B to reach height in meters is -0.8h+12 seconds. How long would it take each elevator to reach ground level?

Time taken by A = 16 seconds

Time taken by B = 12 seconds

Step-by-step explanation:

Given:

Two elevator and their respective time to reach certain height.

Here time is function of height.

Time taken by elevator A = 0.8(h)+16

Time taken by elevator B = -0.8(h)+12

We have to find the time taken by the elevator to reach ground level.

Accordingly:

We know that ground level the height will be zero meaning that (h=0).

Plugging the h values in the equation we can find the time taken by both the elevators to reach zero height that is the ground level.

⇒                      ⇒

⇒                   ⇒

⇒ sec                          ⇒ sec

So,

Time taken by elevator A and elevator B to reach the ground is 16 seconds and 12 seconds respectively.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.