Question

When the minute hand covers a distance of 2 hours and 20 minutes, then what is the angular distance covered by it?

• A. 590°
• B. 720°
• C. 480°
• D. 840°

Answer 1

Answer:

D. 840°

The angular distance covered by the minute hand is 840 degrees.

• Rule: In 1 minute, the minute hand of a clock travels $6^\circ$ (since a full circle is $360^\circ \div 60\text{ minutes} = 6^\circ/\text{minute}$).

1. Convert the total time into minutes:

   • 2 hours = $2 \times 60 = 120\text{ minutes}$

   • Total minutes = $120\text{ minutes} + 20\text{ minutes} = 140\text{ minutes}$

2. Calculate the angular distance:

   • Angular distance = $140\text{ minutes} \times 6^\circ/\text{minute} = 840^\circ$