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:50 km56 km70 km80 km

The problem can be solved by setting up an equation based on the information given.

Let's denote the actual distance the person walked as 'D' (in km), and the time it took as 'T' (in hours).

From the problem, we know that the person usually walks at a speed of 10 km/hr. So, the time it took can be expressed as T = D/10.

The problem also tells us that if the person walked at a speed of 14 km/hr, they would have walked 20 km more. So, the distance they would have walked can be expressed as D + 20. And the time it took to walk this distance at the faster speed can be expressed as (D + 20)/14.

Since the time it takes to walk the actual distance at the usual speed and the time it takes to walk the increased distance at the faster speed are the same, we can set up the following equation:

D/10 = (D + 20)/14

Solving this equation for D gives us D = 70 km.

So, the actual distance travelled by the person is 70 km.