A team of geologists are observing a sink hole in a remote area. When they arrived at the scene, the hole was $3$ feet deep. Three days later, the hole sank $8$ inches further. How deep was the sink hole three days later? Answer this question first in inches, and then in feet. Question 1: The sink hole was $\displaystyle{ \text{ inches} }$ deep three days later. Question 2: The sink hole was $\displaystyle{ \text{ feet} }$ deep three days later. Use fractions in your answer. Don’t use decimal.