Question

what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10 ​

Answer 1

a) 3/12 = 1/4

b) 6/12 = 1/2

c) 9/12 = 3/4

Explanation:

To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.

The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.

Hope this helps!