Question

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 790 meters , and plane B was at an altitude of 1142 meters. Plane A losing altitude at 14 meters per second, and Plane B is losing altitude at 22 meters per second

Answer 1

`x=4.375`

Explanation

From the question we are told

Plane A starts at altitude 790

Plane B starts at altitude 1142

Plane A losing altitude at 14 meters per second

Plane B is losing altitude at 22 meters per second

Generally the altitude of both plane is given by

Plane A=
`790-14x`

Plane B=
`1142-22x`

Therefore when they exist in the same altitude

`790-14x` =
`1142-22x`

`-350=-8x`

`(-350)/(-8) =x`

Therefore

`x=4.375`