# Clock & Time

Angle Between Minute Hand and Second Hand
Q1.

What is the angle between minute hand and second hand when the time is 7h 20m 30s?

Ans:

Time given 7h 20m 30s

We need to find the angle between minute hand and second hand.

Here we need to find the angle between 20m & 30s.

In our tradiotional analog clock integer 4 represents 20 and 6 represents 30.

Now find out the difference between 4 and 6.

4 - 6 =2

Now multiply this differece with 30, A = 2 X 30 = 60

Now devide the seconds value by 10, B = 3.0 / 10 =3

NOTE: If number that represents MINUTE is LESS THAN  that of  SECOND.Find the A-B between the two numbers.Else find the A + B.

ie; Here 4 < 6, so the angle between minute hand and second hand is 60 - 3.0 = 57

Similarlly try the following problems.

Q2.

What is the angle between minute hand and second hand when time is 3h 35m 40s?

Ans:

Time given 3h 35m 40s

7 - 8 = 1

1 X 30 = 30

30 - 4.0 = 26

The angle between minute hand and second hand is 26.

Q3.

What is the angle between minute hand and second hand when time is 6h 30m 30s?

Ans:

Time given 6h 30m 30s

6 - 6 = 0

0 X 30 = 0

0 - 3.0 = 3

The angle between minute hand and second hand is 3.

Q4.

What is the angle between minute hand and second hand when time is 11h 55m 40s?

Ans:

Time given 11h 55m 40s

Here 11 and 8 are the two numbers that represents 55 and 40 repectively.

11 - 8 = 3

3 X 3 = 90

Here 11 > 8, so the angle between minute hand and second hand is 90 + 4.0 = 94

Q5.

What is the angle between minute hand and second hand when time is 11h 35m 20s?

Ans:

Time given 11h 35m 20s

7 - 4 = 3

3 X 30 = 90

90 + 2.0 = 92

The angle between minute hand and second hand is 92.

Find the angle between HOUR hand and SECOND hand

Q6.

What is the angle between hour hand and second hand of a clock when the time is 7h 20m 30s?

Ans:

The time given 7h 20m 30s

We need to find the angle between hour hand and second hand.

Here we need to find the angle between 7h & 30s.

In our tradiotional analog clock integer  6 represents 30.

Now find out the difference between 7 and 6.

7 - 6 =1

Now multiply this difference with 30A = 1 X 30 = 30

Now divide the minutes value by 2 and add 1/4B = (20/2)+(1/4) = 10 + 0.25 = 10.25

NOTE: If number that represents HOUR is LESS THAN  that of  SECOND.Find the A-B between the two numbers.Else find the A + B.

ie; Here 7 > 6, so the angle between hour hand and second hand is 30 + 10.25 = 40.25

Similarlly try the following problems.

Q7.

What is the angle between hour hand and second hand of a clock when the time is 2h 40m 30s?

Ans:

The time given 2h 40m 30s

2 - 6 = 4

4 X 30 = 120

120 - 20.25 = 99.75

So the angle between hour hand and second hand is 99.75
Q8.

What is the angle between hour hand and second hand of a clock when the time is 5h 30m 30s?

Ans:

The time given 5h 30m 30s

5 - 6 = 1

1 X 30 = 30

30 - 15.25 = 14.75

So the angle between hour hand and second hand is 14.75
Q9.

What is the angle between hour hand and second hand of a clock when the time is 2h 40m 30s?

Ans:

The time given 2h 40m 30s

2 - 6 = 4

4 X 30 = 120

120 - 20.25 = 99.75

So the angle between hour hand and second hand is 99.75
Q10.

What is the angle between hour hand and second hand of a clock when the time is 3h 15m 30s?

Ans:

The time given 3h 15m 30s

3 - 6 = 3

3 X 30 = 90

90 - 7.75 = 82.25