8.  An 18-year-old runner can complete a 10.0-km course with an average speed of

4.39 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.27 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?

 

Solve for time

The difference in time for each runner to complete the course is found from

 

We know older runner will take longer and therefore have a large time.  So we take the difference this way to get a positive value.  Now plug in formula for t.

 

Since   we can make it d.

 

 

 

 

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This page last updated on January 11, 2020