Answer:
177.03 s
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:
![s = (100)/(11)\\s = 9.091\ m/s](https://img.qammunity.org/2021/formulas/mathematics/college/cwyvpjxc17fk1gc2fdlf0vp7f8z7lw09ii.png)
Assuming he keeps the same speed, the time that wil take him to cover one mile is:
![t=(1609.34)/(9.091)\\t=177.03\ s](https://img.qammunity.org/2021/formulas/mathematics/college/vekvtnav2cn9fmrajh92r9dwbkp1cmsxmh.png)
The runner takes 177.03 s to cover a mile.