Answer:
177.03 s
Step-by-step explanation:
A century dash is comprised by 100 meters. One mile is equivalent to 1609.34 meters.
If the runner is capable of running 100 meters in 11 seconds, his speed, in m/s, is:
[tex]s = \frac{100}{11}\\s = 9.091\ m/s[/tex]
Assuming he keeps the same speed, the time that wil take him to cover one mile is:
[tex]t=\frac{1609.34}{9.091}\\t=177.03\ s[/tex]
The runner takes 177.03 s to cover a mile.
