How many degrees will the minute hand move in the same time, in which the hour-hand move      10 ° ?    a.40°  b.80°  c.120°  d.160°

To determine how many degrees the minute hand will move in the same time that the hour hand moves 10°, we need to understand the relationship between the two hands.

1. The minute hand completes a full rotation of 360° in 60 minutes.
2. Therefore, in 1 minute, the minute hand moves 360°/60 = 6°.

Now, let's calculate how many degrees the hour hand moves in the same time that the minute hand moves 10°.

1. The hour hand completes a full rotation of 360° in 12 hours.
2. Therefore, in 1 hour, the hour hand moves 360°/12 = 30°.
3. In 1 minute, the hour hand moves 30°/60 = 0.5°.

Since the minute hand moves 6° in 1 minute and the hour hand moves 0.5° in 1 minute, we can calculate the ratio between the two:

6° (minute hand) / 0.5° (hour hand) = 12.

This means that for every 10° the hour hand moves, the minute hand will move 12 times that amount.

Therefore, the minute hand will move 10° x 12 = 120° in the same time that the hour hand moves 10°.

So, the correct answer is c. 120°.