Question

A bell rings every 15 seconds. a horn blows every 30 seconds. if kathy heard the two sounds at 9:00 am, at what time will she hear the sounds together again?

Answer 1

Kathy will hear the bell and the horn together again at 9:00:30 am, as the least common multiple of their intervals is 30 seconds.

Step-by-step explanation:

The question involves finding the least common multiple (LCM) of the two periods: the bell's period of 15 seconds and the horn's period of 30 seconds. The LCM of 15 and 30 is 30 seconds. Since they both make a sound simultaneously at 9:00 am, after 30 seconds they will both make a sound again simultaneously. Therefore, Kathy will hear the sounds together again at 9:00:30 am.