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:

A. 50 km

B. 56 km

C. 70 km

D. 80 km

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{actual}}\,{\text{distance}}\,{\text{travelled}}\,{\text{be}}\,x\,km \cr & {\text{Then}},\,\frac{x}{{10}} = \frac{{x + 20}}{{14}} \cr & \Rightarrow 14x = 10x + 200 \cr & \Rightarrow 4x = 200 \cr & \Rightarrow x = 50\,km \cr} $$