A person is walking at 14 kmph. If he walks at 10 kmph, he would have walked 20 km more. The distance travelled by him is?

To solve this problem, we need to understand that the distance travelled by the person remains the same, regardless of his speed. The difference is in the time it takes to travel that distance.

1. Let's denote the time it would take to walk the distance at 14 kmph as T1 and the time it would take to walk the distance at 10 kmph as T2.

2. We know that T2 is longer than T1 by the time it takes to walk 20 km at 10 kmph. So, we can write the equation: T2 = T1 + 20/10 = T1 + 2 hours.

3. We also know that the distance is the same, so we can write the equation: 14T1 = 10T2.

4. Now we can substitute T2 from the first equation into the second equation: 14T1 = 10(T1 + 2).

5. Solving this equation gives us: 14T1 = 10T1 + 20.

6. Simplifying this equation gives us: 4*T1 = 20.

7. Solving for T1 gives us: T1 = 20/4 = 5 hours.

8. Now we can find the distance by multiplying the time T1 by the speed of 14 kmph: Distance = 14T1 = 145 = 70 km.

So, the person travelled 70 km.