In Time

Algebra Level 2

The great 2-ton Detroit clock was the hit of the 1876 Centennial exhibition in Philadelphia. Not only did it give the time in 13 cities, but it kept track of the seasons and plotted the orbits of the planets around the sun. It also inspired the following problem:

At noon, the big and little hands of the clock meet. How many times do the hands meet between noon and midnight?

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