# How many times do the hands of clock points towards each other in a day?

1
by kunalp

2014-12-16T23:02:13+05:30

### This Is a Certified 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 start from midnight 12 am or 0 hours.  The two hands point in the same direction.

The minutes  hand turns 360 degrees in one hour. So  in one hour  the minutes hand must meet the hours hand..

angle covered by hours hand = 360 / 12 = 30 deg / hour = 1/2 deg /minutes
angle covered by minutes hand = 360/ 60 min = 6 deg / min.

Let us say that the two hands meet after a period of T minutes.

1/2 * T = 6 * T - 360
11 T /2 = 360        T = 720/11 = 65 min + 5/11 minutes

in 24 hours,    24 * 60 / T =  24 * 60 * 11 / 720 = 22 times they meet

click on thank you and select best answer