An exam starts at 10 in the morning and ends at 12:15 in the afternoon. What is the angular distance covered by the hour hand in the given time?

Option 4 : 67.5º

__CONCEPT:__

The total time taken for the given activity should be calculated first and then we have to find out the angle covered by the hour hand in that particular time interval.

We know that, Hour hand covers 360**°** in 12 hours.

Angular distance covered in 1 hour = 360**°**/12 = 30**°**

That is, Angular distance covered in 60 minutes = 30**°**

Then, Angular distance covered in 1 minutes = 30º/60 = 1/2**°**

__CALCULATION:__

Total time taken for the exam is 2 hours and 15 minutes(12:15 - 10:00 = 2:15).

Angular distance covered by the hour hand in 2 hours = 2 × 30**°** = 60**°**

Angular distance covered by the hour hand in 15 minutes = 15 × ½**°** = 7.5**°**

**Total angular distance covered by the hour hand = 60° + 7.5° = 67.5°.**

Hence, **67.5****°** is the correct answer.