Question

suppose the cheetah sprinted at maximum speed for 8 minutes then slowed to 40mph the next 8 minutes how far would the cheetah have traveled?

Answer 1

15.334 miles approximately.

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Explanation:

Answer 2

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,

`\rightarrow 8 \text { minutes }=8 * (1)/(60)=(2)/(15) \text { hours }`

Total distance traveled = distance traveled with 75 mph speed + distance traveled with 40 mph speed

`\begin{array}{l}{\text {distance}=\text {speed} * \text {time}} \\\\ {\text {Total distance}=75 \mathrm{mph} * (2)/(15) \text { hours }+40 \mathrm{mph} * (2)/(15) \text { hours }} \\\\ {\text { Total distance }=5 * 2+8 * (2)/(3)=10+(16)/(3)=10+5.334=15.334}\end{array}`

Hence, the cheetah traveled 15.334 miles approximately.