Answer:
Time taken to cover 100 m is 10.42 s.
Explanation:
Given:
Old distance covered,[tex]d_{old}=100[/tex] yd.
Time taken is, [tex]t_{old}=9.52[/tex] s
Constant speed is given as:
[tex]speed=\frac{\textrm{Old Distance}}{\textrm{Time}}=\frac{100}{9.52}=10.5[/tex] yd/s
Distance covered now, [tex]d_{new}=100[/tex] m.
We need to convert meter to yard.
We have, 1 m = 1.0936 yards
New distance in yards is, [tex]d_{new}=1.0936 \times 100=109.36\textrm{ yd}[/tex]
Speed = 10.5 yd/s.
Therefore, time taken to cover 109.36 yards is given as:
[tex]t_{new}=\frac{d_{new}}{speed}\\t_{new}=\frac{109.36}{10.5}=10.415\approx10.42\textrm{ s}[/tex]
Therefore, he takes 10.42 s to cover 100 m running at same speed.
