Discussion

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

Answer: A

Both journeys take the same time; only the speed and the distance differ.

\[ \frac{x}{10} = \frac{x + 20}{14} \]

\[ 14x = 10x + 200 \quad\Longrightarrow\quad 4x = 200 \]

\[ x = 50 \text{ km} \]

Checking: 50 km at 10 km/hr and 70 km at 14 km/hr both take 5 hours. The 70 on the list is the longer distance, not the actual one.

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