Multiple choice

The ratio of the velocities of the hour hand and minute hand of a clock is:

  1. $\;1\,\colon\,12$
  2. $\;1\,\colon\,1$
  3. $\;5\,\colon\,1$
  4. $\;12\,\colon\,1$
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A Correct answer
Explanation

The hour hand completes 360 degrees in 12 hours (30 degrees/hr). The minute hand completes 360 degrees in 1 hour. Ratio = 30 : 360 = 1 : 12.

AI explanation

We calculate the speeds using the formula speed equals distance divided by time. The minute hand covers 360 degrees in 60 minutes, giving a speed of 6 degrees per minute, whereas the hour hand covers 360 degrees in 720 minutes, giving a speed of 0.5 degrees per minute. The ratio of their speeds is 0.5 to 6, which simplifies to 1 to 12.

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