Problema Solution
An aircraft flew 7 hours with the wind. The return ship took 8 hours against the wind. If the speed of the plane in still air is 336 miles per hour more than the speed of the wind, find the wind speed and speed of plane in still air
Answer provided by our tutors
distance = speed * rate
let 'x' represent the speed of the plane in still air, then 'x-366' represents the speed of the wind
the distance was the same for both trips, so we set their 'speed*rate' expressions equal to each other:
7(x+(x-366)) = 8(x-(x-366))
solving for 'x' we have x=392.14
392.14 - 336 = 56.14
the speed of the plane in still air is approximately 392mph, the speed of the wind is approximately 56mph