At the beginning of the year, Katherine had $80 in savings and saved an additional $8 each week thereafter. Josiah started the year with $25 and saved $13 every week. Let K represent the amount of money Katherine has saved t weeks after the beginning of the year and let J represent the amount of money Josiah has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the interval of time when Katherine has more in savings than Josiah.