How many degrees does the minute hand cover in the same time in which the seconds hand covers 180°?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 3
Each hand turns at a steady speed, so the time taken by the seconds hand is found first and the minute hand’s turn in that time next.
The seconds hand turns 360° in 60 seconds, that is, 6° a second, so 180° takes 30 seconds.
The minute hand turns 360° in 60 minutes, that is, 6° a minute, or 0.1° a second.
In 30 seconds the minute hand turns \(30\times0.1=3^\circ\).
Shortcut: The minute hand is 60 times slower than the seconds hand (one round in 60 minutes against one round in 1 minute), so it turns \(180\div60=3^\circ\).