Aptitude - Clock - Discussion

How 11/3 hours?

The formula ((11 * min)/2) - 30hr is fine .

But in some cases, why are subtracting the answer from 360?

Let x be the minute hand.

And x/12 the hour hand.

Since the hour hand moves 5 minutes spaces every 160 minutes.

That means it moves 1 minute space every 12 minutes. And also there are 360 degrees in a clock and 60 minutes.

That means a minute is equal to 6 degrees. It is mentioned that it's 40 minutes after 4.

So, let's first get the distance of the hands in minutes spaces.

= 40-(40/12)+15.

Since the time is after 4 the hour hand is 20 minutes after 12.

= 40-18 1/3.

= 21 2/3.

= 21 2/3 x 6 = 130.

It's 130 degrees apart.

Whenever the angle b/w hands of clock is asked just apply the formula:

Angle= |30h -11/2(m)|.

Where h is hour and m is min.

Actually why they put 11/3hrs here ..can anyone clear my doubt

For hour hand.

Convert min into hr keep 3 without change 3+(40/60)=11/3.

Here we can use the formula:
theta(degree)=11(m)/2-30h
min(m)=40; hour(h)=3
theta=11(40)/2-30(3)
=130 degree

Even I have the sme doubt as Abi. I dint get how they took 11/3. Pls, pls, please any solve my problem.

I also didn't understand how they have taken 11/3 hrs, and I could not understand how the hours hand angle has been traced.

Convert the whole time in hour.

3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.