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  • The angle between the two hands of a clock is 70°, when the hour hand is between 7 and 8. What time doest the watch show?

 

The angle between the two hands of a clock is 70°, when the hour hand is between 7 and 8. What time doest the watch show?

 

  • Option 1)

     

    7 hours  50\frac{10}{11}\; minutes

     

  • Option 2)

     

    7 hours  25\frac{5}{11}\; minutes

     

  • Option 3)

     

    7 hours  42\frac{8}{11}\; minutes

     

  • Option 4)

     

    Both (1) and (2)

     

  • Option 5)

     

    None of these

     

Answers (1)

best_answer

We know that In 60 Minutes,

Minute hand covers 360 degrees.

Hour hand covers 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

Case 1 - When the minute hand is behind

The distance while there will be time 7 'o' clock = 35 minutes or 210 degree

distance to be cover to make 70 degrees = 210 - 70 => 140 degree or 70/3 min

time taken after 7 = 70/3 x 12/11 => 25 (5/11)

So the exact time when the hands will be together = 7: 25 (5/11)

Case-2 When the minute hand is ahead

The distance while there will be time 7 'o' clock = 35 minutes or 210 degree

distance to be cover to make 70 degrees = 210 + 70 => 280 degree or 140/3 min

time taken after 7 = 140/3 x 12/11 => 50 (10/11)

So the exact time when the hands will be together = 7: 50 (10/11)

Thus, Option(4) will be the answer.

Posted by

rishi.raj

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