Problem of the Week 1200
Flying in Circles
An airplane flies at a constant air speed of
If the travel time around the track is 30 minutes, find the wind speed in miles per hour.
Extra Credit: Solve the travel time problem given the wind speed. If the air speed is v, the track radius is r, and the constant wind has speed
The idea here is to give as close to a closed-form for the time as possible. There appears to be an elegant formula.
Source: John Snyder, based on a problem he saw at a Purdue University problem site.