Discussion
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Answer: D
Each half of the distance is \( \tfrac{d}{2} \).
\[ \frac{d/2}{30} + \frac{d/2}{25} = 11 \]
\[ \frac{d}{60} + \frac{d}{50} = \frac{5d + 6d}{300} = \frac{11d}{300} \]
\[ \frac{11d}{300} = 11 \quad\Longrightarrow\quad d = 300 \text{ km} \]
Equivalently, the average speed is the harmonic mean \( \tfrac{2 \times 30 \times 25}{55} = 27.27 \) kmph, and \( 27.27 \times 11 = 300 \).
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