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Wednesday, September 20, 2006

Math quiz of the day

From the September 20, 1906 NYT:
One boat makes a mile in five minutes and a second mile in ten minutes. The first mile is at the average speed of twelve miles an hour; the second at the average speed of six miles an hour, or an average for the two of nine miles an hour.

But the two miles were made in the aggregate time of fifteen minutes, and can only be repeated four times in an hour. In other words, the boat really averaged four times two miles, or eight miles an hour.

Now what was her average speed, eight or nine miles an hour? and why?

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