Please I’m having trouble

Question

3. A 10k race is 6.2 miles . The time a runner finishes is invers proportional to the speed of the runner .

A. If speed is being measured in miles per hour, determine the constant of proportionality the constant of proportionality

B. Define the variables and write the variation function:

C. What was Michael's speed (in miles per hour) if he finished the race in 2 hours and 30 minutes?

Answer 1

This is a "fancy" method of solving the simple problem.

You know from pre-alebra distance-rate-time formula D = V * T (distance is speed multiplied by time)

So the time

T= D / V

So you see that time is inverse-proportional to speed.

The distance is 6.2

So the equation is

T = 6.2/V where 6.2 is the coefficient of proportionality.

To answer the question C. What was Michael's speed (in miles per hour) if he finished the race in 2 hours and 30 minutes?

2.5 = 6.2 / V

and

V = 6.2 / 2.5 = 2.48