ALGEBRA FOR URCHINS
We wish we weren’t so rusty in our mathematics. One of our favourite projects has always been to write an algebra book for the use of the Urchin when he gets a little older. This algebra would be in the form of a story in which the problems would be introduced naturally into the movement of the tale, and each one would be (if we could persuade him to do it) illustrated by Fontaine Fox.
The problems, moreover, would deal with facts and topics familiar to the Urchin. One problem, for instance, would run something as follows:
Riding in Dame Quickly along the North Hempstead turnpike, the Urchin notices that a man is walking on the sidewalk but at just such a pace that a telephone pole prevents him from being recognized. Attempting to see who the pedestrian is, and foiled by the fact that the simultaneous motions of Dame Quickly and the man on the sidewalk keep the pole constantly in the line of sight, the Urchin becomes interested in the problem. He notes that the speedometer indicates 22 miles an hour. He persuades his father to stop the car and measure the width of the road and the sidewalk. Dame Quickly stops opposite the pole and the measurements are taken. It is 24 feet from the Dame to the pole. The line along which the man was walking, down the middle of the sidewalk, was three feet from the pole. How fast was the man walking?[B]
[B] The answer, if you care to work it out, seems to be 2¾ miles per hour.
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