the distance is 16 km.
given that
the initial speed of man is 8 km/hr.
the final speed of man is 10 km/hr.
If a man speed is 8 km/hr, then he reaches office 9 minutes late.
If a man speed is 10 km/hr, then he reaches office 15 minutes before.
formula used:
distance = speed X time
Let the distance be n.
Now find the difference between the time by using given information.
[tex]15 - ( - 9) = 24 \: minutes[/tex]
According to question, we already know that
[tex]( \frac{n}{8} - \frac{n}{10} ) = ( \frac{24}{60} ) \\( \frac{n}{40} )= ( \frac{24}{60} ) \\ n =16\: km[/tex]
so, the distance is 16 km.
Learn more about distance, refer:
https://brainly.com/question/17146782
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