At what time between 6 and 7 O'clock, are the hands of a clock together?

 

  • Option 1)

     

    6 hours 32\frac{8}{11}\: minutes

     

  • Option 2)

     

    6 hours  30 minutes

     

  • Option 3)

     

    6 hours   34\frac{5}{11}\: minutes

     

  • Option 4)

     

    6 hours   29\frac{7}{11}\: minutes

     

  • Option 5)

     

     6 hours   33\frac{6}{11}\: minutes

     

Answers (1)

We know that In 60 Minutes,

Minute hand covers 360 degrees.

Hour hand cover 30 degrees.

In every 60 Min Minute hand covers 330 degrees more than the hour hand.

330 degree in minutes = 55 Minutes

So, we can conclude that in every 60 Minute Minute hand is 55 Minute ahead.

To be 1 minute ahead, time taken by minute hand = 60/55 = 12/11

At 6 'o' clock,

The distance between the minute hand and hour hand = 30 minute

To finish this gap  between these two,

time taken after 6 = 30 x 12/11 => 32(8/11)

So the exact time when the hands will be together = 6: 32(8/11)

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