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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 & Solution
Correct Answer:
Option
A
Let the actual distance travelled be x km
Then,
$$\eqalign{ & \Leftrightarrow \frac{x}{{10}} = \frac{{x + 20}}{{14}} \cr & \Leftrightarrow 14x = 10x + 200 \cr & \Leftrightarrow 4x = 200 \cr & \Leftrightarrow x = 50{\text{ km}} \cr} $$
Then,
$$\eqalign{ & \Leftrightarrow \frac{x}{{10}} = \frac{{x + 20}}{{14}} \cr & \Leftrightarrow 14x = 10x + 200 \cr & \Leftrightarrow 4x = 200 \cr & \Leftrightarrow x = 50{\text{ km}} \cr} $$
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