Question

Four bells ring at intervals 4, 6, 8 and 14 seconds. They start ringing simultaneously at 19:00 O' clock

Answer 1

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Answer 2

Four bells start ringing simultaneously at 19:02:08 O' clock

Given:

Four bells ring at intervals 4, 6, 8 and 14 seconds.  

They ring simultaneously at 19:00 O' clock.

To find:

When will the bells ring together = ?

Solution:

Four bells ring :

1. At interval $4=2 \times 2$

2. At interval $6=2 \times 3$

3. At interval $8=2 \times 4=2 \times 2 \times 2$

4. At interval $14=2 \times 7$

L.C.M. of 4, 6, 8 and $14=2 \times 2 \times \times 3 \times 7=8 \times 21$

= 168 seconds  

i.e. $\frac{168}{60}= 2.8\ \text{minutes}$

Thus, at 19:02:08 O' clock, the bells will ring simultaneously again.