I think the answer is 22 times.

me too

Log in to add a comment

I think the answer is 22 times.

me too

Log in to add a comment

22 times is the answer............

The Brainliest Answer!

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let initially it over lapped at 12 o'clock

next overlap is after 1 o'clock

let it overlap after time t min

**angle by both hand will be same, taking 12 o'clock as reference**

after 1 o'clock hour hand will subtend an angle = 30° + 0.5t

and by minute hand, angle = 6t

A/q

30° + 0.5t = 6t

⇒5.5t = 30

⇒t = 60/11

counting from 12 o'clock total time will be 65 min 5/11 sec

**so for one overlap time interval is 65 min 5/11 sec**

total min in one day = 24×60

total number of overlap = (24×60)/(720/11)

=(24×60×11)/720 = 22

**so total number of overlap will be 22**

next overlap is after 1 o'clock

let it overlap after time t min

after 1 o'clock hour hand will subtend an angle = 30° + 0.5t

and by minute hand, angle = 6t

A/q

30° + 0.5t = 6t

⇒5.5t = 30

⇒t = 60/11

counting from 12 o'clock total time will be 65 min 5/11 sec

total min in one day = 24×60

total number of overlap = (24×60)/(720/11)

=(24×60×11)/720 = 22