$A$ man walks on a straight road from his home to a market $2.5 \; km$ away with a speed of $5 \; km \; h^{-1}$. Finding the market closed,he instantly turns and walks back home with a speed of $7.5 \; km \; h^{-1}$. What is the average speed of the man over the interval of time $0$ to $30 \; min$?
- A$5 \; km \; h^{-1}$
- B$7.5 \; km \; h^{-1}$
- C$2.5 \; km \; h^{-1}$
- D$10 \; km \; h^{-1}$
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