Answer:
The value is [tex]T = 404.3 \ s [/tex]
Explanation:
From the question we are told that
The average speed of the three-toed is [tex]v = 0.23 m/s[/tex]
The average speed of the cheetah is [tex]v_1 = 31 m/s[/tex]
The time duration is [tex]t = 3 \ s[/tex]
Generally the distance covered by the cheater is mathematically represented as
[tex]D = 31 * 3[/tex]
=> [tex]D = 93 \ m [/tex]
Generally the time it would take the three-toed sloth to cover this distance is
[tex]T = \frac{D}{v}[/tex]
=> [tex]T = \frac{93}{0.23}[/tex]
=> [tex]T = 404.3 \ s [/tex]
