Answer to Puzzle #37: An Aerople Takes a Roundtrip in the Wind


37. If an aeroplane makes a round trip and a wind is blowing, is the trip time shorter, longer or the same?

Let's do a worked example. Lets say our plane has to travel 300 miles there and 300 miles back. It has a standard cruising speed of 600mph. In the case of no wind it will travel the 600 miles in 1 hour exactly. Simple enough.

Let us say that the wind speed is 100mph so the plane will be wind assisted to 700mph and slowed to 500mph
- Wind Assisted: 300 miles at 700mph takes 0.429 hours
- Wind Slowed: 300 miles at 500mph takes 0.6 hours
- Total Time: 1.029 hours

Because the journey against the wind is slower and lasts longer the plane is against the wind for longer. And the converse is true.

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