Aptitude - Clock - Discussion

@Nithya 55 min gained in 60 minutes means.

Suppose its 12:00 am (both the hands of clock have 0 min. difference between them,as they both point towards 12 )then after 60 min(1 hour) hour hand will point to 1, and minute hand will point to 12, now in this position minute hand and hour hand have a difference of 55 minutes between them.

Thats wat he is telling that minute hand gained 55 min in 60 min.

Is there any formula if the hands are apart my minutes?

Say eg., at what time between 5 and 6 o'clock the hands are 3 minutes apart?

Hi @Nithya and @Ajit.

"At 4 o'clock, the hands of the watch are 20 min. Spaces apart.

To be in opposite directions, they must be 30 min. Spaces apart.

Minute hand will have to gain 50 min. Spaces".

Are you agree this statement? the same thing "to reach the 5 o'clock in the opposite direction, they must be 30mins. Space apart.

Minute hand will have to gain 55min. Spaces.

(1-2-3-...11) => (5+10+... 55).

So the answer is (60/55) *50 = 54.(6/11).

Hi guy its very easy.

First of all at. 4 o' clock there is 120' space apart HM hand.

And for opposite direction there must be 180' space apart so,

Total is 300 space apart and the relative speed is 5.5 and the distance to Cover is 300. So, 300/5.5.

Hi frnds here this can be solve in another way also:

((5*hour)-30)(12/11) because it is straight line.

((5*4)-30)(12/11).

(-10)(12/11).

(50)(12/11).

54.(6/11).

How it 20 min spaces comes?

-> Imagine if both the hands are 12 i.e time is 12:00 then at 1:00 -> Hour hand will be at 1:00 .

-> Minute hand will be at 12 again.Therefore the space gained by minute hand over hour hand is 55 min in 1 hour,i.e. 55 min in 60 min i.e logical data which is used in all problems.

-> Coming to the problem,the hour hand is at 4:00 and minute hand is at 12,therefore to cross hour hand the minute hand has to gain 20 min spaces i.e it means it has to move 20 min forward.

-> Between 4:00 and 5:00 if the hour hand and minute have to be in opposite directions,then hour hand will be at 5:00 and minute hand will be 55 then it has gain 30 minutes more.

-> Totally it has to gain 20+30=50 minutes.

-> If 55->60 then 50->? Ans = 54 6/11 min past 4 they will be in opposite directions.

Angle = 11min/2-30hour.
4 opposite direction angle is 180.

Between 4 and 5 o clock hour is 4.
You will get the min.(answer).

TRICK OF THIS TYPE OF QUESTION.

How 4 past come after dividing?

If we solve by the method of angle difference between hour hand and minute hand, there has to be a difference of 180 degrees for the hands to be opposite.

So I applied this in the equation. If they align 180 degrees opposite to each other after 'x' minutes, then degrees traversed by hour hand will be x*6 and that of hour hand will be (10*4) + (0.5*x).

Taking the difference, the equation formed will be 6x-40-0.5x = 180. Solving this equation gives x=40. So answer should be 40 minutes pas 4.