Snow Big Deal

Calculus Level 4

You are standing on a straight road in the middle of a snowy field. Your maximum walking speed is 4 mph on the road, and 2 mph in the field. Let A be the area, in square miles, of the region of the field you could reach within an hour. Find \(\lfloor 10A \rfloor\).

Details and assumptions

  • The width of the road is negligible.
  • You can be walking in any direction at any time.
  • You don't need to be walking for the entire hour.

This problem is based on a tweet by James Tanton.)


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