Question

need help please! An airplane travels 1,800 miles in 3 hours flying with the wind. On the return trip, flying against the wind it takes 4 hours to travel 2,000 miles. Find the rate of the plane in still air.

Answer 1

550 mph

Answer 2

\[1800 = (v_{plane}+v_{air})(3), 2000 = (v_{plane}-v_{air})(4)\]
so we have a system of equations we want to solve:
\[600 = v_{plane}+v_{air}, 500 = v_{plane} -v_{air} \]
adding them gives:
\[1100 = 2v_{plane} \Rightarrow v_{plane} = 550 mph\]

Answer 3

ohh ty guys! :)