If a man runs at 24 km/hr instead of 20 km/hr he could run 40 km more in the same time. Find the actual distance travelled by him.

200 Km

Let the time taken be $t\text{ hours}$.

At 20 km/h, the distance covered is: $20t$

At 24 km/h, the distance covered is: $24t$

Given that at the higher speed he covers 40 km more in the same time:

$24t - 20t = 40$

$4t = 40$

$t = 10\text{ hours}$

Therefore, the actual distance (at 20 km/h) is:

$20 \times 10 = 200\text{ km}$