The 10,000-meter long-distance running event in the summer Olympics is approximately 6.2 miles. Which equation could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute?

Step-by-step explanation:

Given that distance is 10,000 meter or 6.2 miles.

Time taken is minutes.

Average speed is miles/minutes

To find:

Equation to determine time 't' as a function of average speed 's' = ?

t is in minutes and

s is in miles/minute

Solution:

First of all, let us have a look at the formula for Average Speed:

Now, we are given that Time, should be in minutes and

Average speed, must be in miles per minute

That means, we must have distance in miles.

Putting all the values in above formula.

So, the formula or equation becomes:

Therefore the equation to find time, in minutes as a function of Average Speed, is given as:

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step-by-step explanation: