A problem from Lewis Carroll --

**A man walked for 5 hours, first along a level road, then
up a hill, and then he turned around and walked back to the starting
point along the same path. He walks 4 mph on the level, 3 mph
uphill, and 6 mph downhill. Find the distance he walked.
**

There is

not enough information givento solve the problem.

Hint in setting up an equation?

Hint?

Carroll's version gave the total time as 6 hours. Polya used the total time of 5 hours. Is your solution appropriate for either version?

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References

Carroll, Lewis (1885)

Currently available at http://ebooks.adelaide.edu.au/c/carroll/lewis/tangledA Tangled Tale.

: Lewis Carroll (real name, Charles Lutwidge Dodgson) published the ten problems between 1880 and 1885 inNotemagazine. They were published in book form in 1885 with illustrations. With each problem (Carroll called themThe Monthly PacketKnots) readers were invited to send solutions and Carroll commented on the solutions he received. This problem wasphrased in a story about two knights who travel for 6 hours at the rate of 4 mph on level ground, 3 mph going up hill, and 6 mph going down hill. They are late for dinner but curious about how far they traveled.Knot 1 ExcelsiorPolya, George (1962)

. Volume 1. New York: John Wiley & Sons.Mathematical Discovery: On understanding, learning, and teaching problem solvingPolya presents his version of the problem in Chapter 2, pp 41- 42. He present two different solutions but uses his explanations to make some points about the solution process.