Question

How many minutes past 8 o'clock do the hour and minute hands of the clock meet?

Answer 1

8:45 as it is past not before ok it may be right also or wrong may be

Answer 2

The hour and minute hands of the clock meet 43.63 minutes past 8 o'clock.

Given:

Given time= 8 o'clock

To Find:

Time at which hour and minute hands meet

Solution:

In 60 minutes, the hour hand moves= 30 degrees

In 1 minute, the hour hand will move= 1/2 degrees

In 60 minutes, the minute hand moves= $360 degrees$

In 1 minute, the minute hand will move= 6 degrees

Relative speed= 6°- 1/2° = 11/2°

Now, at 8 o' clock, the angle between the hour and minute hand= 240°

To meet the hour hand, the minute hand will have to cover these 240° at a relative speed of 11/2°.

So, minute hand will cover 11/2° in = 1 min

It will cover 240° in= 240° X (2/11°)= 43.63 minutes.

Therefore, the hands will meet 43.63 minutes after 8 o' clock.

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