Question

Lighthouse A sounds a foghorn every 3 hours, and Lighthouse B sounds a foghorn every 10 hours. If both lighthouses sound their foghorns at the same time, how many hours will it be until the next instance when both foghorns sound at the same time?

Answer 1

Here, we are required to determine how many hours will it be until the next instance when both foghorns sound at the same time.

The lighthouse A and B will have their foghorns sound at the same time after 30 hours.

• Since lighthouse A sounds it's foghorn every 3hours, and lighthouse B sounds it's foghorn every 10 hours.

To determine the next time when both foghorns sound at the same time;

We need to determine the lowest common multiple (LCM) of 3 and 10.

• The lowest common multiple of 3 and 10 is therefore 30.

As such, the foghorns sound at the same time after 30 hours of when the foghorns sounded the same time.

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