# Problem of the Week Problem A Old Faithful

Old Faithful is a geyser in Yellowstone National Park. It is so named because it was believed that it erupted every $$60$$ to $$90$$ minutes all day long. Assuming that Old Faithful erupts at $$12$$ midnight and then erupts every $$60$$ to $$90$$ minutes after the last eruption, answer the following questions.

1. After the first eruption at $$12$$ midnight, what is the minimum number of eruptions you could see until up to and including $$12$$ midnight the next night?

2. After the first eruption at $$12$$ midnight, what is the maximum number of eruptions you could see until up to and including $$12$$ midnight the next night?

Themes: Algebra, Number Sense