an ostrich is being chased by a cheetah. The ostrich is running 44 feet per second and the cheetah at 110 feet per second. If the two started at the same place and the ostrich got a 60-second head start, how many second will it be before the cheetah catches it?

Answer 1

Let t be the number of seconds before the cheetah catches the ostrich.

Distance covered by ostrich = 44(t+60)
Distance covered by cheetah = 110t

Given that both distances are equal when the cheetah catches the ostrich:

44(t+60) = 110t
44t + 2640 = 110t
66t = 2640
t = 40

It will take 40 seconds for the cheetah to catch the ostrich.