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.

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?

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