Answer:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
Step-by-step explanation:
Given that distance is 10,000 meter or 6.2 miles.
Time taken is [tex]t[/tex] minutes.
Average speed is [tex]s[/tex] 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:
[tex]\text{Average Speed} = \dfrac{\text{Total Distance Traveled}}{\text{Total Time Taken}}\\\Rightarrow \text{Total Time Taken} = \dfrac{\text{Total Distance Traveled}}{\text{Average Speed}}\\[/tex]
Now, we are given that Time, [tex]t[/tex] should be in minutes and
Average speed, [tex]s[/tex] 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:
[tex]t = \dfrac{6.2}{s}[/tex]
Therefore the equation to find time, [tex]t[/tex] in minutes as a function of Average Speed, [tex]s[/tex] is given as:
[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]
