Respuesta :
The cheetah traveled 15.334 miles approximately.
SOLUTION:
Given, Suppose the cheetah sprinted at maximum speed for 8 minutes
Then, slowed to 40mph the next 8 minutes
We have to find how far would the cheetah have traveled
Now, we know that, maximum speed of cheetah is 68 – 75 mph, as we want maximum we are taking 75 which greater than 68.
So, cheetah sprinted at 75 mph for 8 minutes and then sprinted at 40 mph for next 8 minutes.
First let us convert 8 minutes into hours,
[tex]\rightarrow 8 \text { minutes }=8 \times \frac{1}{60}=\frac{2}{15} \text { hours }[/tex]
Total distance traveled = distance traveled with 75 mph speed + distance traveled with 40 mph speed
[tex]\begin{array}{l}{\text {distance}=\text {speed} \times \text {time}} \\\\ {\text {Total distance}=75 \mathrm{mph} \times \frac{2}{15} \text { hours }+40 \mathrm{mph} \times \frac{2}{15} \text { hours }} \\\\ {\text { Total distance }=5 \times 2+8 \times \frac{2}{3}=10+\frac{16}{3}=10+5.334=15.334}\end{array}[/tex]
Hence, the cheetah traveled 15.334 miles approximately.
Answer:
15.334 miles approximately.
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