Question

If the seconds hand moves by $300^\circ$, then by how much angle does the minute hand move in the same time?

• A. $5^\circ$
• B. $10^\circ$
• C. $6^\circ$
• D. $7.2^\circ$

Hint:

Remember: minute hand moves $0.1^\circ$ per second—very useful shortcut for clock problems.

Answer 1

The Correct Option is A

Concept:

• Second hand completes $360^\circ$ in 60 seconds.
• Minute hand completes $360^\circ$ in 60 minutes = 3600 seconds.

Step 1: Find time for $300^\circ$ movement of second hand.
\[ \frac{300}{360} \times 60 = 50\ {seconds} \]
Step 2: Find minute hand movement in 50 seconds.
\[ {Minute hand speed} = \frac{360^\circ}{3600\ {seconds}} = 0.1^\circ/{sec} \] \[ {Angle} = 50 \times 0.1 = 5^\circ \]
Hence, the minute hand moves $5^\circ$.