A SIDECAR PROBLEM Atkins, Baldwin, and Clarke had to go
on a journey of fifty-two miles across country. Atkins had a motorcycle with a
sidecar for one passenger. How was he to take one of his companions a certain
distance, drop him on the road to walk the remainder of the way, and return to
pick up the second friend, who, starting at the same time, was already walking
on the road, so that they should all arrive at their destination at exactly the
same time? The motorcycle could do twenty miles an
hour I might have complicated the problem
by giving more passengers, but I have purposely made it easy, and all the
distances are an exact number of miles – without fractions. 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 l P.M. How far did our correspondent go towards C?
COIN AND HOLE We have before us a specimen of every American coin from a penny to a
dollar. And we have a small sheet of paper with a circular hole cut in it of
THE COUNTER CROSS Arrange twenty counters in
the form of a cross, in the manner shown in the diagram. Now, in how many
different ways can you point out four counters that will form a perfect square
if considered alone? Thus the four counters composing each arm of the cross,
and also the four in the center, four counters marked A, the four marked B, and
so on. How may you remove six
counters so that not a single square can be so indicated from those that
remain? | |
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