Question

Solve the problem.

A plane climbs from an altitude of 14,000 ft to a cruising altitude of 38,000 ft. The plane ascends at a rate of 3000 ft/min. How long will it take to
reach cruising altitude?
a
b
с
d
0.1 min
72,000,000 min
17 min
8 min

Answer 1

8 minutes

Explanation:

Given:

• Initial altitude = 14,000 ft
• Cruising altitude = 38,000 ft
• Rate of ascent = 3,000 ft min⁻¹

`\boxed{\sf Time=(Distance)/(Speed)}`

Substitute the given values into the formula and solve for time:

`\begin{aligned}\implies \sf Time & = \sf ((38000-14000) \: ft)/(3000\:ft\:min^(-1))\\\\& = \sf (24000)/(3000\:min^(-1))\\\\& = \sf (24\:min)/(3)\\\\& = \sf 8\:min\end{aligned}`

Therefore, it will take 8 minutes to reach cruising altitude.