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How many degrees will the minute hand move in the same time, in which the hour-hand move      10 ° ?

Question

How many degrees will the minute hand move in the same time, in which the hour-hand move 10 ° ?

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Solution

To answer this question, we need to understand the relationship between the hour hand and the minute hand on a clock.

In a clock, the minute hand moves 360 degrees in 60 minutes, which means it moves 6 degrees per minute.

On the other hand, the hour hand moves 360 degrees in 12 hours, which means it moves 30 degrees per hour.

Now, if the hour hand moves 10 degrees, we can calculate how many degrees the minute hand will move in the same time.

Using the ratio of 30 degrees per hour for the hour hand and 6 degrees per minute for the minute hand, we can set up the following proportion:

30 degrees / 1 hour = 6 degrees / x minutes

To solve for x, we can cross-multiply and divide:

30 * x = 6 * 1 30x = 6 x = 6 / 30 x = 0.2

Therefore, the minute hand will move 0.2 minutes, which is equivalent to 0.2 * 60 = 12 seconds.

This problem has been solved

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