Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alarmed together three hours before: then after how ' many hours willl they next alarm together?
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Answer:
The common alarm will be together after 3 hours.
Given:
Three clocks a=oe designed to alarm in every hour, two hours and three hours respectively. If they all alarmed together three hours before:
To find:
Then after how many hours willl they next alarm together?
Solution:
3 Clocks are designed to alarm every 1,2,3 hour
Such that clock A will alarm every hour, B will alarm once in 2 hours, C will alarm once in 3 hours.
Starting from 12pm,
A alarm = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
B alarm = 2, 4 , 6, 8, 10, 12
C alarm = 3, 6, 9, 12
common alarm at 6, 12
Hence, the common alarm will be 3 hours later.
Result:
The common alarm will be together after 3 hours.
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