Six bells start ringing simultaneously and ring at an interval of 2, 4, 6, 8, 10 and 12 seconds, respectively. How many times do they ring together in 50 minutes?
Given:
The bells ring at intervals of 2, 4, 6, 8, 10, and 12 seconds.
Solution:
LCM of 2, 4, 6, 8, 10, and 12 = 120 seconds.
Now, we calculate how many times the bells ring together in 50 minutes.
50 minutes = 50 × 60 = 3000 seconds.
Number of times they ring together = + 1 = 25 + 1 = 26
Therefore, the bells ring together 26 times in 50 minutes.
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