At what time after 4:00 pm will the hour and minute hand be together?

Question

At what time after 4:00 pm will the hour and minute hand be together? Can you give me an answer and show how you got it? Thanks a lot! It would really help.

Answer 1

The hour hand will move 1 degree for every 2 minutes. The minute hand will move 6 degrees every minute. Since at 4:00pm the hour hand is at 120 degrees and the minute hand is at 0 degrees, you just need to find where they are equal.
at 4:02 h=121 m=12
at 4:04 h=122 m=24
at 4:06 h=123 m=36
at 4:08 h=124 m=48
looking at this pattern you have 1:12 ratio for every 2 minutes
So, at 4:20 h=130 and m=120, at 4:21 you have h=131 and m-132... this will lead to it being just a few seconds before 4:21pm.

Answer 2

Let it be after x minutes after 4. At 4, angle between the 2 hands is 120 degrees. Now, minute hand moves 360 degrees per hour. So, it wud move x/60 * 360 = 6x degrees in x minutes.

A hour hand moves 30 degrees per hour. So, in x minutes it wud move x/60 * 30 = x/2 degrees.

now, for the hands to be together, the difference between these angles shud be 120 degrees

So, 6x - x/2 = 120
11x = 240
x = 240/11 which is almost 22

so u will find them together at almost 4:22

Answer 3

The angular speed of hour hand is 360 degree in 12 x 60 minutes.

= 360/ 720 = 0.5 degree/ minute.

The angular speed of minute hand is 360 degree
in 1 x60 minutes.

=360/ 60 = 6 degree / minute.

Relative speed is 6-0.5 = 5.5 degree per minute.

At 4O’ clock the angle between then is 120 degree.

Time taken to meet one another is 120/ 5.5 = 21. 81 minute = 21 minutes 49.1 second.

At 4 hour 21 minutes and 49.1 second the two will meet.

Answer 4

4:21... I double clicked the clock on my computer desktop, moved the hour hand to 4:00, then moved the minute hand until they were together.

Answer 5

go to bed.

Answer 6

i oso dont know wat u talking about ut i cant help