How much angular distance will be covered by the minute hand of the correct clock in a period of 3 h 25 min?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1230°
1. Calculate the speed of the minute hand:
A clock is a circle, which consists of $360^\circ$. The minute hand completes one full rotation every 60 minutes.
$\text{Speed of minute hand} = \frac{360^\circ}{60 \text{ min}} = 6^\circ \text{ per minute}$
2. Convert the total time into minutes:
The given period is 3 hours and 25 minutes.
- $3 \text{ hours} = 3 \times 60 = 180 \text{ minutes}$
- $\text{Total time} = 180 \text{ min} + 25 \text{ min} = \mathbf{205 \text{ minutes}}$
3. Calculate the total angular distance:
$\text{Distance} = \text{Time} \times \text{Speed}$
$\text{Distance} = 205 \text{ min} \times 6^\circ/\text{min}$
$\text{Distance} = \mathbf{1230^\circ}$