If a person walks at 14 km/hr instead of 10 km/hr, he would have walk…

Speed = \(\frac{ Distance}{ Time}\)

Ratio of Speeds:

S₁ : S₂ - 14 : 10

S₁ : S₂ - 7 : 5

Ratio of distance is directly proportional to the ratio of speed because when speed increases the distance travelled also increases and vice-versa.

So, the ratio of distance travelled is:

D₁ : D₂ - 5 : 7

According to the question, he walked 20 km more with the increase in the speed. So, after seeing the ratio, we can say that the value of 2 parts is 20 km i.e. 1 part equals to 10km

So, actual distance travelled by him is 5 x 10 = 50 km