AMC 10 Step by Step
2003 AMC 10BProblem 22P21-25~6 minPrint

A clock chimes once at 3030 minutes past each hour and chimes on the hour according to the hour. For example, at 1PM1 \text{PM} there is one chime and at noon and midnight there are twelve chimes. Starting at 11:15AM11:15 \text{AM} on February 26, 2003,\text{February 26, 2003}, on what date will the 2003rd2003^{\text{rd}} chime occur?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.