An 18-year-old runner can complete a 10.0-km course with an average speed of 4.51 m/s. A 50-year-old runner can cover the same distance with an average speed of 3.91 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?

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Chapter1: Units, Trigonometry. And Vectors
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I know I have to find the difference in their times to solve this practice problem.

An 18-year-old runner can complete a 10.0-km course with an average speed of 4.51 m/s. A 50-year-old runner can cover the same
distance with an average speed of 3.91 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?
Transcribed Image Text:An 18-year-old runner can complete a 10.0-km course with an average speed of 4.51 m/s. A 50-year-old runner can cover the same distance with an average speed of 3.91 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?
Expert Solution
Step 1: Given parameters

D equals 10.0 space k m equals 10000 m space left parenthesis D i s tan c e right parenthesis
S subscript y equals 4.51 space m divided by s space left parenthesis a v e r a g e space s p e e d space o f space y o u n g space r u n n e r right parenthesis
S subscript o equals 3.91 space m divided by s space left parenthesis a v e r a g e space s p e e d space o f space o l d space r u n n e r right parenthesis
T o space f i n d colon space T h e space t i m e space d i f f e r e n c e

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