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Time, Clock & Calendar Hard 3 min

At exactly what time between 4:00 and 5:00 do the clock hands overlap?

Hint
At 4:00 the hands are 120 degrees apart.

Answer

Approximately 4:21:49.

Explanation

The minute hand gains on the hour hand at 5.5 degrees per minute. Time = 120 ÷ 5.5 = 21.818 minutes, or approximately 21 minutes 49 seconds.

Step-by-Step Solution

120 ÷ 5.5 = 21.818 minutes.
0.818×60 ≈ 49 seconds.
Time ≈ 4:21:49.
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