You don't have to solve this if you don't want but how do I set this up?
4. Write an equation (or two) and solve : An airplane flying due south from St. Louis to Baton Rouge uses a strong, steady tailwind to complete the trip in 2.5 hours. On the return trip, the same wind slows the flight and it takes 3 hours to get back. If the flight distance between these cities is 912 km, what is the cruising speed of the airplane (speed with no wind) and how fast is the wind blowing?
4. Write an equation (or two) and solve : An airplane flying due south from St. Louis to Baton Rouge uses a strong, steady tailwind to complete the trip in 2.5 hours. On the return trip, the same wind slows the flight and it takes 3 hours to get back. If the flight distance between these cities is 912 km, what is the cruising speed of the airplane (speed with no wind) and how fast is the wind blowing?
-
Distance = Ground Speed * Time
Let w be the wind speed and c be the cruising speed
Going to Baton Rouge
912 = (c + w) * 2.5
Returning from Baton Rouge
912 = (c - w) * 3.0
...
Let w be the wind speed and c be the cruising speed
Going to Baton Rouge
912 = (c + w) * 2.5
Returning from Baton Rouge
912 = (c - w) * 3.0
...