How many times do the two hands of a clock coincide in a day? a.24 b.22 c.48 d.12a. b. c.
Question
How many times do the two hands of a clock coincide in a day? a.24 b.22 c.48 d.12a. b. c.
Solution
To determine how many times the two hands of a clock coincide in a day, we need to understand the movement of the clock hands.
The hour hand completes a full revolution every 12 hours, while the minute hand completes a full revolution every 60 minutes.
In a 12-hour period, the hour hand and the minute hand will coincide 11 times. This is because the minute hand will catch up to the hour hand 11 times as it moves around the clock face.
Since there are 24 hours in a day, we can double the number of coincidences in a 12-hour period to get the total number of coincidences in a day.
Therefore, the two hands of a clock coincide 22 times in a day.
So, the correct answer is b. 22.
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