Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .
Step-by-step explanation:
Since we have given that
Distance he covered by swimming = 25 yards
Time taken by him = 3 seconds
[tex]\text{Speed of his swimming} =\frac{Distance}{Time}\\\\ \text{Speed of his swimming} =\frac{25}{3}[/tex]
Now, if he covers 200 yards , the change of time will be
[tex]\text{Time taken}=\frac{Distance}{Speed}\\\\\text{Time taken}=\frac{200}{\frac{25}{3}}\\\\\text{Time taken}=\frac{200\times 3}{25}\\\\\text{Time taken}=8\times 3\\\\\text{Time taken}=24 seconds[/tex]
Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .
