An owl is flying in the air with a mouse in its beak. It drops the mouse from a height of 30 feet. The distance the mouse is from the ground as it falls can be represented by the function f(t)=-167 + 30,
where t is the time, in seconds. To catch the mouse as it falls, an owl flies along a path represented
by the function g(t) = -8t + 15. Can the owl catch the mouse before it hits the ground?