On a snow day, Mason created two snowmen in his backyard. Snowman A was built to a height of 51 inches and Snowman B was built to a height of 29 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 2 inches per hour. Let A ( t ) A(t) represent the height of Snowman A t t hours after sunrise and let B ( t ) B(t) represent the height of Snowman B t t hours after sunrise. Write the equation for each function and determine the interval of time, t , t, when Snowman A is taller than Snowman B.