Answer :
Answer: 96 kilometers per hour .
Step-by-step explanation:
Formula : [tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
Distance traveled by Cheetah = [tex]2\dfrac{2}{5}\ km =\dfrac{5(2)+2}{5}\ km=\dfrac{12}{5}\ km[/tex]
Time taken = [tex]1\dfrac{1}{2}\ minutes[/tex] =[tex]\dfrac{3}{2}\ minutes[/tex]
Since 1 hour = 60 minutes
So , Time taken by Cheetah( in hour)= [tex]\dfrac{3}{2}\div60= \dfrac{3}{2}\times\dfrac{1}{60}=\dfrac{1}{40}\ minutes[/tex]
Then, the speed of a cheetah= [tex]\dfrac{\dfrac{12}{5}\ km}{\dfrac{1}{40}\ hour}[/tex]
[tex]=\dfrac{12}{5}\times40\ km/ hour[/tex]
[tex]= 12\times8 \ km/hour = 96\ km/ hour[/tex]
Hence, the top speed of a cheetah is 96 kilometers per hour .