Two bells toll at intervals of 15 seconds and 20 seconds. If they toll together

Two bells toll at intervals of 15 seconds and 20 seconds. If they toll together at 12:00 PM, when will they toll together again? (2023)

Two bells toll at intervals of 15 seconds and 20 seconds. If they toll together at 12:00 PM, when will they toll together again? (2023)

Step 1: Identify the intervals at which each bell tolls. The first bell tolls every 15 seconds, and the second bell tolls every 20 seconds.
Step 2: To find out when both bells will toll together again, we need to calculate the Least Common Multiple (LCM) of the two intervals (15 seconds and 20 seconds).
Step 3: Find the multiples of 15: 15, 30, 45, 60, 75, ...
Step 4: Find the multiples of 20: 20, 40, 60, 80, ...
Step 5: Look for the smallest number that appears in both lists of multiples. The smallest common multiple is 60 seconds.
Step 6: Since they toll together at 12:00 PM, we add 60 seconds to this time.
Step 7: 60 seconds is equal to 1 minute, so 12:00 PM plus 1 minute is 12:01 PM.
Step 8: Therefore, the two bells will toll together again at 12:01 PM.

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