three bells ring at intervals of 15second 21second 16secomd respectively. All bell rings simultaneously at 12:00 noon they will ring at
(a) 28min past 12
(b) 25minpast12
(c) 26minpast12
(d) 24minpast 12
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Step-by-step explanation:
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 = 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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