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A clock is started at noon. By 20 minutes past 4, the hour hand has turned through how many degrees?

Question

A clock is started at noon. By 20 minutes past 4, the hour hand has turned through how many degrees?

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Solution

  1. First, we need to determine the total time that has passed from noon to 20 minutes past 4. This is 4 hours and 20 minutes, or 4.33 hours.

  2. The hour hand of a clock moves 360 degrees in 12 hours (because there are 12 hours on a clock face).

  3. Therefore, in 1 hour, the hour hand moves 360/12 = 30 degrees.

  4. So, in 4.33 hours, the hour hand will have moved 4.33 * 30 = 129.9 degrees.

  5. Therefore, by 20 minutes past 4, the hour hand has turned through approximately 130 degrees.

This problem has been solved

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