In the “old days” (circa 1935) pilots used to race small, relatively high-powered airplanes around courses marked by a pylon on the ground at each end of the course. Suppose two such evenly matched racers fly at airspeeds of 130 mph. (Remember, this was a long time ago!) Each flies one complete round trip of 25 miles, but their courses are perpendicular to each other and there is a 20 mph wind blowing steadily parallel to one course.

(a) Which pilot wins the race and by how much? 

(b) Relative to the axes of their respective courses, what headings must the two pilots use?