MADSTER INITIATION PROBLEM #1: WHEN IS AN AVERAGE NOT AN AVERAGE?

A pilot flies a prop plane on a square course -- 100 miles on a side. He flies
  1. the W-E course at average speed of 100 mph;
  2. the N-S course at average speed of 200 mph;
  3. the E-W course at average speed of 300 mph;
  4. the return S-N course at average speed of 400 mph.

PROBLEM: WHAT IS THE AVERAGE SPEED FOR THE ENTIRE 400-MILE COURSE?

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250mph.
200mph.
150mph.
192mph.
Solution to this Rate Problem.