Who is the race Winner?

On a barnyard, there was a chicken, a turkey and a crow. The chicken could fly at 5 mph but, as chickens are poor flyers, he gets tired very soon. After only 2 minutes of flying, he had to walk at 1 mph for next three minutes before he could fly again. The turkey could fly continuously at 4 mph, but he had a habit of swerving back and forth. So for every 3 feet he flies, he actually only travels 2 feet. The crow could fly straight, at 2 mph. Which animal would win a one mile race?

Answer:

Chicken would win the one-mile race. If you calculate the weighted average, you'll see that the chicken's average speed, after 5 minutes, is 2.6 mph. The turkey's average speed is 2.67 mph. The crow, of course, has an average speed of 2 mph. From these figures, you might guess that the turkey would win. But NO !!! The catch is the fact that the one-mile race does not take an even multiple of five minutes to complete. The chicken's average speed is only accurate after the full five minutes of flying/walking is completed. At any time before that, the chicken's mean speed will be higher. After 20 minutes have passed, the chicken will have travelled 0.87 miles, and the turkey will have travelled 0.89 miles. However, the chicken will then begin flying at 5 mph, and will overtake the turkey. The final results will be: 1. Chicken - 21.6 minutes (21 minutes 36 seconds) 2. Turkey - 22.5 minutes (22 minutes 30 seconds) 3. Crow - 30 minutes.