Question

At how many points between 12 o'clock and 1 o'clock are the minute hand and hour hand of a clock at an angle of 30 degrees to each other?

Answer 1

Answer: Two times the minute hand and hour hand of a clock are at an angle of 30 degrees to each other between 12 o'clock and 1 o'clock.

Step-by-step explanation:

The duration of time in between 12 o'clock and 1 o'clock is 1 hour and so while the hour hand remains pointed at the 12th place, the minute hand keeps moving changing angles every minute.

30 degrees is formed between the hour hand and the minute hand in the following two cases:

1. At 12 hours 5 minutes- the hour hand is pointed at 12 and minute hand at 1.

2. At 1 o'clock the hour hand is pointed at 1 while the minute hand is pointed at 12.