# What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from (a) 3 to 9 (b) 4 to 7 (c) 7 to10 (d) 12 to 9 (e) 1 to 10 (f) 6 to 3

## Answer: a) 1/4th revolution; b) 1/4th revolution; c)1/4th revolution ; d) 1/4th revolution; e)3/4th revolution; f)3/4th revolution g) 3/4th revolution

**Explanation:**

### a) 3 to 9

### 1/2 revolution is covered when the hour hand goes from 3 to 9 in the clockwise direction

The number of hours covered in the clockwise revolution from 3 to 9 is 6 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 6 hours = 6 * 1/12 = 1/2 revolution

### Answer: 1/2 revolution is covered when the hour hand goes from 3 to 9 in the clockwise direction

### b) 4 to 7

### 1/4 revolution is covered when the hour hand goes from 4 to 7 in the clockwise direction

The number of hours covered in the clockwise revolution from 4 to 7 is 3 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 3 hours = 3 * 1/12 = 1/4 revolution

### Answer: 1/4 revolution is covered when the hour hand goes from 4 to 7 in the clockwise direction

### c) 7 to 10

### 1/4 revolution is covered when the hour hand goes from 7 to 10 in the clockwise direction

The number of hours covered in the clockwise revolution from 7 to 10 is 3 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 3 hours = 3 * 1/12 = 1/4 revolution

### Answer: 1/4 revolution is covered when the hour hand goes from 7 to 10 in the clockwise direction

### d) 7 to 10

### 1/4 revolution is covered when the hour hand goes from 7 to 10 in the clockwise direction

The number of hours covered in the clockwise revolution from 7 to 10 is 3 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 3 hours = 3 * 1/12 = 1/4 revolution

### Answer: 1/4 revolution is covered when the hour hand goes from 7 to 10 in the clockwise direction

### e) 12 to 9

### 3/4 revolution is covered when the hour hand goes from 12 to 9 in the clockwise direction

The number of hours covered in the clockwise revolution from 12 to 9 is 9 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 9 hours = 9 * 1/12 = 3/4 revolution

### Answer: 3/4 revolution is covered when the hour hand goes from 12 to 9 in the clockwise direction

### f) 1 to 10

### 3/4 revolution is covered when the hour hand goes from 1 to 10 in the clockwise direction

The number of hours covered in the clockwise revolution from 1 to 10 is 9 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 9 hours = 9 * 1/12 = 3/4 revolution

### Answer: 3/4 revolution is covered when the hour hand goes from 1 to 10 in the clockwise direction

### g) 6 to 3

### 3/4 revolution is covered when the hour hand goes from 6 to 3 in the clockwise direction

The number of hours covered in the clockwise revolution from 6 to 3 is 9 hours.

12 hours = 1 full revolution

=> 1 hour = 1/12 revolution

=> 9 hours = 9 * 1/12 = 3/4 revolution

### Answer: 3/4 revolution is covered when the hour hand goes from 6 to 3 in the clockwise direction