Question

Lily observes that when the hour hand of an analog clock moves from 1 to 2, the minute hand moves one complete circle. Now, she wants to know the degrees by which the minute hand moves when the hour hand moves by 180°. Help her find the answer.

• A. $6\times {360}^{\circ }$
• B. $2\times {360}^{\circ }$
• C. $3\times {360}^{\circ }$
• D. $5\times {360}^{\circ }$

Answer 1

The correct option is A $6\times {360}^{\circ }$

A minute hand moves one complete circle in one hour.

$\text{One division of the clock is}=\frac{360}{60}=6^{\circ }$

In one hour, the hour hand moves 5 divisions = 5 × 6 = 30°

Given that the hour hand moves by ${180}^{\circ }=\frac{180}{30}=6\text{h}$

So, in 6 hours, the minute hand moves 6 complete circles = 6 × 360°