Three bells ring at the intervals of 12 min , 15 min and 18 min respectively . If they ring together at 10:3 a.m , then at what time will they ring together next ?
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Three bells ring at intervals of 12, 15 and 18 seconds .
Find the L.C.M
12 = 3 × 2 × 2
15 = 3 × 5
18 = 3 × 2 × 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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