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Time, Clock & Calendar Hard 3 min

A clock shows 6:00. At what time between 6:00 and 7:00 will the hands be exactly opposite each other?

Hint
Opposite hands are 180 degrees apart.

Answer

Approximately 6:32:43.6.

Explanation

At 6:00 the hands are 180 degrees apart. As the minute hand moves, the relative separation changes. The opposite position occurs again when the minute hand gains 180 degrees relative to the hour hand: 180 ÷ 5.5 = 32.727 minutes.

Step-by-Step Solution

180 ÷ 5.5 = 32.727 minutes.
0.727×60 ≈ 43.6 seconds.
Time ≈ 6:32:43.6.
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