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 ° ?
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.
Similar Questions
What is the angle covered by the minute hand in 45 minutes 50 seconds?*240°270°275°300°
A clock that said 3 o'clock has moved its hands -2/3π radians. How many degrees did the hands of the clock moved?
The Reflex angle between the hands of a clock at 10:25 is:197.5°200.5°97.5°162.5°
If Dan turns the hour hand of a clock anticlockwise from 2 pm to 8 am, how many degrees will it have turned?
In 2 hours, the minute hand of a clock rotates through an angle of90°180°360°720°
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.