A man walks from point X to Y at a speed of 20 km/h, but comes back from point Y to X at a speed of 25 km/h. Find his average speed.

Let the distance between point X and Y = d

Speed of the man from point X to Y = 20 km/h

Time taken by the man from point X to Y = $$\frac{d}{20}$$

Speed of the man from point Y to X = 25 km/h

Time taken by the man from point Y to X = $$\frac{d}{25}$$

$$\therefore\ $$Average Speed = $$\frac{\text{Total Distance travelled}}{\text{Total time taken}}$$

= $$\frac{d+d}{\frac{d}{20}+\frac{d}{25}}$$

= $$\frac{2d}{\frac{9d}{100}}$$

= $$\frac{200}{9}$$

= $$22\frac{2}{9}$$ km/h

Hence, the correct answer is Option A