Correct Answer - Option 1 : 55
The logic followed here is:\
- In one minute, minute hand moves = 360/ 60 = 6º
- In one hour, hour hand moves = 360/ 12 = 30º
- In one minute hour hand moves = 30/60 = 1/2º
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So, the relative distance between both the hands in one minute = 6º - 1/2º = \(5 {1 \over 2}\)º
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In other words, in one minute, the minute hand gains \(5 {1 \over 2}\)º more than hour hand.
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In one hour the gain will be = \(5 {1 \over 2}\)º × 60 = 330º
- In other words, the minute hand will gain [ 330/6 = 55] 55 minutes to the hour hand. or the minute hand moves by 55 minutes in an hour.
Hence, '55' is the correct answer.
