# To what angle (in degrees) does the minute hand rotate while the hour hand passes 2 degrees?

September 25, 2021 | education

| Answer: 4 minutes

Solution:

The watch dial is divided by 12 o’clock. Moreover, it corresponds to 360 degrees. Thus, in 1 hour, the hour hand travels 30 degrees (360: 12 = 30)

Next, let’s determine how many degrees the hour hand will pass in 1 minute. To do this, we divide 30 degrees by 60 minutes. It turns out that in 1 minute the hour hand travels 0.5 degrees.

Now let’s find how long the minute hand will go while the hour hand moves 2 degrees. To do this, divide 2 degrees by 0.5 degrees. We get 4 minutes (2 / 0.5).

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