Question

How many positions are there on an ordinary clock with the hour hand and the minute hand in a coincident position?

Answer 1

11 times hour hand and the minute hand in a coincident position

Step-by-step explanation:

Let say initial Coincident position is at  12:00 Clock

When Both minute & hour hand coincident

Now to coincident again Let say hour hand travel for  x°

then Minute hand travel 360° + x°

Time Taken would be  T  Mins

Hour hand moves in T  mins  = T * 360°/12 * 60 = 0.5T

Minute Hand Moves in T Mins = T * 360/60  = 6T

6T = 360° + x°

0.5T = x°

=> 6T = 12x°

=> 360° + x°  =  12x°

=> 11x° = 360

=> x° = 360/11

Hence 11 times hour hand and the minute hand in a coincident position

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