Important Formulas - Clock
1.Minute Spaces
The face or dial of clock is a circle whose circumference is divided into 60 equal parts, named minute spaces
2.Hour hand and minute hand
A clock has two hands. The smaller hand is called the hour hand or short hand and the larger one is called minute hand or long hand.
3. 55 min spaces are gained by minute hand (with respect to hour hand) in 60 min.
(In 60 minutes, hour hand will move 5 min spaces while the minute hand will move 60 min spaces. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.)
4.Both the hands of a clock coincide once in every hour.
5.The hands of a clock are in the same straight line when they are coincident or opposite to each other.
6.When the two hands of a clock are at right angles, they are 15 minute spaces apart.
7.When the hands of a clock are in opposite directions, they are 30 minute spaces apart.
8.Angle traced by hour hand in 12 hrs = 360°
9.Angle traced by minute hand in 60 min. = 360°.
10.If a watch or a clock indicates 9.15, when the correct time is 9, it is said to be 15 minutes too fast.
11.If a watch or a clock indicates 8.45, when the correct time is 9, it is said to be 15 minutes too slow.
12.The hands of a clock will be in straight line but opposite in direction, 22 times in a day
13.The hands of a clock coincide 22 times in a day
14.The hands of a clock are straight 44 times in a day
15.The hands of a clock are at right angles 44 times in a day
16.The two hands of a clock will be together between H and (H+1)o'clock at(60H/11)min past H o'clock.
17.The two hands of a clock will be in the same straight line but not together between H and(H+1)o'clock at
(5H-30)*12/11 min past H,when H > 6
(5H-30)*12/11 min past H,when H < 6
18.Angle between Hands of a clock
When the min hand is behind the hour hand,the angle between the two hands at M min past H o'clock
=30(H-M/5)+M/2 degree
When the min hand is ahead of the hour hand,the angle between the two hands at M min past H o'clock
=30(M/5-H)-M/2 degree
19.The two hands of the clock will be at right angle between H and (H+1)o'clock at
(5H +_15)12/11 min past Ho'clock
20.The min hand of a clock overtakes the hour hand at intervals of M min of correct time.The clock gains or loss in a day by
(720/11-M)(60*24/M)minutes
21.Between H and (H+1)oclock,the two hands of a clock are M minutes apart at(5H+-M)12/11minutes past H o'clock
1.Minute Spaces
The face or dial of clock is a circle whose circumference is divided into 60 equal parts, named minute spaces
2.Hour hand and minute hand
A clock has two hands. The smaller hand is called the hour hand or short hand and the larger one is called minute hand or long hand.
3. 55 min spaces are gained by minute hand (with respect to hour hand) in 60 min.
(In 60 minutes, hour hand will move 5 min spaces while the minute hand will move 60 min spaces. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.)
4.Both the hands of a clock coincide once in every hour.
5.The hands of a clock are in the same straight line when they are coincident or opposite to each other.
6.When the two hands of a clock are at right angles, they are 15 minute spaces apart.
7.When the hands of a clock are in opposite directions, they are 30 minute spaces apart.
8.Angle traced by hour hand in 12 hrs = 360°
9.Angle traced by minute hand in 60 min. = 360°.
10.If a watch or a clock indicates 9.15, when the correct time is 9, it is said to be 15 minutes too fast.
11.If a watch or a clock indicates 8.45, when the correct time is 9, it is said to be 15 minutes too slow.
12.The hands of a clock will be in straight line but opposite in direction, 22 times in a day
13.The hands of a clock coincide 22 times in a day
14.The hands of a clock are straight 44 times in a day
15.The hands of a clock are at right angles 44 times in a day
16.The two hands of a clock will be together between H and (H+1)o'clock at(60H/11)min past H o'clock.
17.The two hands of a clock will be in the same straight line but not together between H and(H+1)o'clock at
(5H-30)*12/11 min past H,when H > 6
(5H-30)*12/11 min past H,when H < 6
18.Angle between Hands of a clock
When the min hand is behind the hour hand,the angle between the two hands at M min past H o'clock
=30(H-M/5)+M/2 degree
When the min hand is ahead of the hour hand,the angle between the two hands at M min past H o'clock
=30(M/5-H)-M/2 degree
19.The two hands of the clock will be at right angle between H and (H+1)o'clock at
(5H +_15)12/11 min past Ho'clock
20.The min hand of a clock overtakes the hour hand at intervals of M min of correct time.The clock gains or loss in a day by
(720/11-M)(60*24/M)minutes
21.Between H and (H+1)oclock,the two hands of a clock are M minutes apart at(5H+-M)12/11minutes past H o'clock
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