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What time between 6pm and 6:30 pm the hour and minutes hands be exactly 125* degree apart

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Answer:

6:10pm

Step-by-step explanation:

At 6:00 the hands are 180° apart.

The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.

The minute hand moves 1/60 of the circle per minute = 6° per minute

Angle between the hands decreases by 6-0.5 = 5.5° per minute.

180 - 5.5t = 125

t = 125/5.5 = 10 minutes

The hands are 125° apart at t minutes after 6:00, or 6:10.

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