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# A clock challenge.
An analog clock reads 7:30 AM now.
![[1 teaching/summer program 2023/puzzles-and-problems/---files/Pasted image 20230829101715.png]]
Some questions for you!
(1) What is the angle between the hands at 7:30AM?
(2) At what time (**exactly, in fractions**) are the hands $90^{\circ}$ to each other, right after 7:30AM?
(3) At what time (**exactly, in fractions**) do the hands overlap, right after 7:30AM?
Come for stickers.