Question

5: Un músico golpea un tambor una vez cada 24 segundos exactamente, mientras que otro lo hace cada 14 segundos. Suponiendo que acaban de golpear ambos a la vez, ¿cuándo volverán a coincidir?

Answer 1

168 seconds

Explanation:

To find out when they coincide again, the least common multiple between both numbers must be calculated:

24 14 | 2

12 7 | 2

6 7 | 2

3 7 | 3

1 7 | 7

1 1

Therefore the least common multiple is:

2 * 2 * 2 * 3 * 7 = 168

This means that they will coincide again at 168 seconds, when the first musician has struck 7 times (168/24) and the other 12 times (168/14)