Answer
Cheetah can run $68mph$ and zebra can run $43mph$.
Work Step by Step
Let $x$ be the cheetah's sprinting speed and $y$ be the zebra sprinting speed
Solving the problem $$1)x = y + 25$$ $$2)x + y = 111$$
Substituting 1) in 2) $$y + 25 + y = 111$$ $$2y = 111-25 = 86$$ $$y = \frac{86}{2} = 43$$
Solving for $x$ $$x = 43+25 = 68$$