One day I found a strange thing happening to my watch-
the minute hand and hour were coming together every sixty- five minutes. I decided
to get it checked.
Was my watch gaining
or losing time, and how much per hour?
Answer: If 65
Minutes be counted on the face of the same watch then the problem would be
impossible, because the hands must coincide every 65 ⁵⁄₁₁ minutes as shown by
its face – and it hardly matters whether it runs fast or slow. However. If it
is measured by actual time, it gains ⁵⁄₁₁ of a minute in 65 minutes or ⁶⁰⁄₁₄₈
of a minute per hour.
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