Introduction:

In this era of digital clocks, we still crave our analogue clocks. Waking up for school in the early morning and rubbing those sleepy eyes to figure out the hands of the clock was the horrifying part of childhood. Despite being our enemy those hands of the clock were always dutiful in their work.

Have we ever wondered how many of the hands of the clocks come in a straight line? Oopsie! you were too sleepy to figure that out?

No worries, we have your back for that answer.

No. of time the hands of the clocks come in a straight line

We know that the minute and hour hands coincide every 65 minutes, not every 60 minutes.

Furthermore, the hour and minute hands only coincide once between 11:00 and 1:00, at 12:00.

So from the two statements above, we can say that the two hands will coincide exactly 11 times in 12 hours.

I need to find the number of times in a day so that there are 24 hours in a day. For this reason,

The number of times the two hands coincide=2 \times 11=22=2 \times 11=22 \text { times. }

Another way to find the answer:

This issue can also be resolved using another method. Knowing that both hands meet every 65 minutes gives us an approximation of the number of times the hands meet.

Because he knows there are 24 hours in a day and 60 minutes in an hour.

So, we get a total minute in a day =24 \times 60=1440 \mathrm{~min}=24 \times 60=1440 \mathrm{~min}

Both hands match every 65 minutes, so dividing the above value by 65 gives:

The number of times the two hands coincide =\frac{1440}{65}

Dividing the terms, we get

The number of times the two hands coincide =22.15 \approx 22=22.15 \approx 22

times.

Conclusion:

The clock hands point in opposite directions (on the same straight line) 11 times every 12 hours (because between 5 and 7 o'clock they point in opposite directions only at 6 o'clock). In other words, the needle points in the opposite direction 22 times a day.