Three bells ring at an interval of 12,15 and 24 min. If all three bells rang together at 8 am , when they will ring again together
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Question :
Three bells ring at intervals of 12, 15 and 18 seconds respectively if they started ringing together at 8:35 a.m. at what time will they together again after the earliest.
YOUR ANSWER IS 8:30 A.M.
Step-by-step explanation:
Given
Three bells ring at intervals of 12, 15 and 18 seconds .
Find the L.C.M
12= 3×2×2
15 = 5×3
L.C.M = 3 × 3 × 2 × 2 × 5
⇒ L.C.M = 9 × 20
L.C.M = 180
Convert to minutes
L.C.M = 180 s
60 s = 1 min
180 s = 3 min
Hence after 3 minutes they will ring together again .
Add the minutes
8 : 35 + 3= 8 : 38
The time will be 8 : 38 am .
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