jmc

Samson derives utility according the relation $$\text{Utility}=\text{hours of math done}\times \text{hours of frisbee played}.$$On Monday he plays $t$ hours of frisbee and spends $8-t$ hours doing math. On Tuesday, he ends up getting the same amount of utility as Monday while spending $2-t$ hours playing frisbee and $t+3$ hours on math. Find $t$. Answer as a fraction in lowest terms.