At 6 O'clock the minute hand is 30 min spaces apart from the hour hand
To coincide each other, it must gain 30 min. spaces 55 min are gained in 60 min
30 min are gained in (60/55 *30) = 360/11 = 32(8/11) min space
The hands are together at 32 8/11 min. past 6
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At what time between 9 and 10 o'clock will the hands of a watch be together?
The angle traced by hour hand in 6.30 hours = 6(30/60) = 6(1/2)
=>(13/2) Ã— (360/12) = 195Â°
The angle traced by minute hand in 45 minutes = (360/60) Ã— 45 = 270Â°
Angle between hour and minute hand = 270Â° - 195Â° = 75Â°
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How many times are the hands of a clock at right angle in a day?
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