Respuesta :
Answer:
8 minutes
Step-by-step explanation:
Given:
- Initial altitude = 14,000 ft
- Cruising altitude = 38,000 ft
- Rate of ascent = 3,000 ft min⁻¹
[tex]\boxed{\sf Time=\dfrac{Distance}{Speed}}[/tex]
Substitute the given values into the formula and solve for time:
[tex]\begin{aligned}\implies \sf Time & = \sf \dfrac{(38000-14000) \: ft}{3000\:ft\:min^{-1}}\\\\& = \sf \dfrac{24000}{3000\:min^{-1}}\\\\& = \sf \dfrac{24\:min}{3}\\\\& = \sf 8\:min\end{aligned}[/tex]
Therefore, it will take 8 minutes to reach cruising altitude.