Question

Your class started at 12:17 PM and ended at 12:49 PM. What angle did the minute hand of a watch sweep through during the class?

A. 186
B. 192
C. 180
D. 168

Answer 1

192

Explanation:

12:49 - 12:17 = 32min

if 60min = 360°

32min = ?

32×360

60

=192°

Answer 2

B. 192 degrees

Explanation:

First, calculate how many degrees a minute equals.

The minute hand rotates 360 degrees every 60 minutes.

Thus, one minute is equivalent to dividing 360 degrees by 60 minutes, that is 360/60 = 6 degrees per minute.

Now, we subtract the minutes from the two hours given,

12:49 PM - 12.17 PM = 32 minutes

Finally, we calculate the angle traveled by the minute hand by multiplying 6 degrees by 32 minutes, that is

Angle = 6 * 32 = 192 degrees.

I hope this helps!