Problema Solution
A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
Answer provided by our tutors
Orlando to Denver
time = 5 hours
Tailwind = 40 mph
speed = x+40
Denver to Orlando
Headwind = 40
time = 6 hours
speed = x-40
find: speed of plane in still air = x
6(x-40)=5(x+40)
6x-240 = 5x + 200
x = 440 miles per hour = speed of airplane in still air