1960 AMC 12 Problem 2

Attempt Problem 2 of the 1960 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1960 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

It takes 55 seconds for a clock to strike 66 o’clock beginning at 6:006{:}00 o’clock precisely. If the strikings are uniformly spaced, how long, in seconds, does it take to strike 1212 o’clock?
9139\dfrac13
1010
1111
142314\dfrac23
none of these
Answer: C
Concepts:clockratefencepost counting
Small hint:
Six strikes contain only five time intervals
Big hint:
Twelve strikes contain eleven intervals of the same length
Solution:
There are 55 equal intervals from the first of 66 strikes to the last, so each interval lasts 11 second. Twelve strikes contain 1111 such intervals and therefore take 1111 seconds.
Thus, the correct answer is C.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.