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4 bells ring in different times (III Soros Olympiad 1996-97 R2 9.2)

Source:

May 31, 2024
algebra

Problem Statement

Three bells begin to ring simultaneously. The intervals between strikes for these bells are, respectively, 43\frac43 seconds, 53\frac53 second and 22 seconds. Impacts that coincide in time are perceived as one. How many beats will be heard in 11 minute? (Include first and last.)