The problem involves determining how many times six bells, ringing at intervals of 2, 4, 6, 8, 10, and 12 seconds, will ring together in a 30-minute period. The solution requires calculating the least common multiple (LCM) of these intervals, which establishes the frequency at which all bells ring simultaneously. Once the LCM is found, the number of intervals within 30 minutes can be computed to find the total number of times the bells ring together.
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You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.burgess said:Help need to solve math homework problem
Six bells start ringing together and ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they ring together?
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Opalg said:You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.