Final answer:
The cheetah runs at a speed of 60 mph.
Step-by-step explanation:
To find out how fast the cheetah runs, we can use the formula:
Speed = Distance / Time
Since both the lion and the cheetah cross the same bridge, the distance they cover is the same. Let's call this distance 'd'.
For the lion, its speed is 45 mph and it takes 40 seconds to cross the bridge. So, we can write:
45mph = d / 40s
Simplifying the equation, we get:
d = 45 * 40 = 1800 miles
Now, let's find the speed of the cheetah. We know that it takes 30 seconds to cross the same distance 'd'. So, we can write:
Speed of cheetah = Distance / Time = d / 30s = 1800 / 30 = 60 mph
Therefore, the cheetah runs at a speed of 60 mph.