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

When time is constant, ratio of distance is directly proportional to speed.

Now, According to question

                             Actual   :   New

Ratio of Speed  =       20    :    24

                                     5     :     6

Ratio of distance =      5     :     6

Here,

Difference of distance = 40km (given)

⇒ 6R - 5R = 40

⇒ 1R = 40

Therefore,

Actual Distance = 5R = 5 × 40 = 200km.