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To the nearest second when will the minute hand lie exactly over the hour hand between 2 pm and 3 pm?
Wiki User
∙ 14y ago
At 10 minutes 55 seconds past 2pm or 14.10 and 55 seconds.
The minute hand rotates 360° per hour = 6° per minute = 1/10° per second.
The hour hand rotates 30° per hour = 1/120° per second.
At 12 o'clock the hands are perfectly aligned.
After each hour the minute hand is at 12 o'clock and the hour hand has rotated 30°.
For the hands to be aligned between 2pm and 3pm then the hour hand must have rotated 60° when the minute hand is at 12 o'clock.
To be aligned the minute hand has now to rotate n/10°. The hour hand has already rotated 60° and now needs to rotate a further n/120°
n/10 = 60 + n/120 : n = 7200/11 = 655 seconds = 10 minutes 55 seconds.
Wiki User
∙ 14y ago
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