536 Puzzles and Curious Problems

(Elliott) #1
236 Answers

from A. and the man from A. walked 3¥7 miles per hour, while the man from
B. walked 4"Ys miles per hour. They both arrived at 7 P.M. exactly.


  1. RIDING IN THE WIND


He could ride one mile in 3¥7 minutes, or 7124 mile per minute. The wind
would help or retard him to the extent of ~4 mile per minute. Therefore, with
the wind he could ride 1}24 mile per minute and against the wind, ~4 mile per
minute; so that is I mile in 3 minutes or 4 minutes, respectively, as stated.


  1. A ROWING PUZZLE


The correct answer is 3o/i 7 minutes. The crew can row Vs of the distance per
minute on still water, and the stream does y\2 of the distance per minute. The
difference and sum of these two fractions are ~o and 1 ~o. Therefore, against
the stream would take 61)7 minutes (or 817 minutes), and with the stream 6iJ'b
(or 3o/i7 minutes).


  1. THE ESCALATOR


If I walk 26 steps I require 30 seconds, and if I walk 34 steps I require only
18 seconds. Multiply 30 by 34 and 26 by 18 and we get 1,020 and 468,
the difference between which is 552. Divide this by the difference between 30
and 18 (that is, by 12) and the answer is 46, the number of steps in the stair-
way, which descends at the rate of 1 step in 1 ~ seconds. The speed at which
I walk on the stairs does not affect the question, as the step from which
I alight will reach the bottom at a given moment, whatever I do in the mean-
time.



  1. SHARING A BICYCLE


Let Anderson ride 11 ¥I miles, drop the bicycle, and walk the rest of the way.
Brown will walk until he picks up the bicycle and then rides to their destina-
tion, getting there at exactly the same time as Anderson. The journey takes
them 3 hours 20 minutes. Or you can divide the 20 miles into nine stages of
2~ miles each, and drop the machine at every stage, only you must make
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