Question

Three bells toll at intervals of 9, 12, 15 minutes. If they start tolling together, after what time
will they next toll together?
​

Answer 1

Answer:

Step-by-step explanation:

150  minutes

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Answer 2

Answer:

Let’s take off our Math Hat and give an understandable answer:

All 3 bells rang at Time 0.

One bell rang at 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, and 180.

Another bell rang at 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, and 180.

The last bell rang at 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, and 180.

180 (minutes) after the earlier Trifecta was the next Trifecta. 180 is the first number (after zero) evenly divisible by 9, 12, and 15. This will repeat every 180 minutes, providing subsequent Trifectas at 360, 540, 720, 900, etc.