On a snow day, Nolan created two snowmen in his backyard. Snowman A was built to a height of 31 inches and Snowman B was built to a height of 52 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 4 inches per hour and Snowman B's height decreased by 7 inches per hour. Let A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the interval of time,
t
,
t, when Snowman A is taller than Snowman B.