536 Puzzles and Curious Problems

(Elliott) #1
Speed & Distance Puzzles 23

puzzles that we have considered for some time. It made a considerable demand
on Professor Walkingholme's well-known ingenuity. The idea was suggested
to me by Mr. H. F. Heath.


  1. THE BATH CHAIR


A correspondent informs us that a friend's house at A, where he was invited
to lunch at 1 P.M., is a mile from his own house at B. He is an invalid, and at
12 noon started in his Bath chair from B towards C. His friend, who had
arranged to join him and help push back, left A at 12: 15 P.M., walking at five
miles per hour towards C. He joined him, and with his help they went back
at four miles per hour, and arrived at A at exactly 1 P.M. How far did our
correspondent go towards C?

-----c



  1. THE PEDESTRIAN PASSENGER


A train is travelling at the rate of sixty miles per hour. A passenger at the
back of the train wishes to walk to the front along the corridor and in doing
so walks at the rate of three miles per hour. At what rate is the man travelling
over the permanent way? We will not involve ourselves here in quibbles and
difficulties similar to Zeno's paradox of the arrow and Einstein's theory of
relativity, but deal with the matter in the simple sense of motion in reference
to the permanent way.


SO. MEETING TRAINS

At Wurzletown Junction an old lady put her head out of the window and
shouted:
"Guard! how long will the journey be from here to Mudville?"

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