Latest Infosys Aptitude Question SOLUTION: 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?

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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?

Solution

After 60 minute rotation the minute hand will make an angle of 30 degree with hour hand.After that let the time required to make an overtake is t minute
in this time angle covered by minute hand = (360/60)t = 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

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Asked In Infosys Aditi Sharma (13 years ago)

Solved Read Solution (2)

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ARIJIT NATH  (13 years ago)

none. coz in a normal unbiased clock, the minute hand overtakes the hour hand after a time interval of 65 mins.

Is this solution Helpfull? Yes (4) | No (8)  

durganaresh  (8 years ago)

1440/143 minutes in 24 hours

but in 12 hours 720/143 minutes

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