The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in 12 hours?  Pick:
A) 27.273 seconds B) 29.273 seconds C) 37.273 seconds D) 47.273 seconds E) 17.273 seconds
27.273 secondsfter 60 minute rotation the minute hand will make an angle of 30 degree with hour hand.27.273 secondsfter that let the time required to make an overtake is t minute   in this time angle covered by minute hand = (360/60)= 
<gadget id="calculator">(360/60)</gadget>
<output>6</output>
6t   similarly angle covered by hour hand= (30/60)t = t/2   so for overtake 6t = 30 + t/2 or t = 60/11 min = 5 min and 5/11 min = 5 min and 300/11 sec = 5 min and 27.273 sec so clock loses 27.273 seconds   27.273 secondsNSWER:27.273 seconds
<result>A</result>
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in 12 hours?