Speed = \(\frac{\text{Distance}}{\text{Time}}\)

From the first statement, speed = xkm/h, t = 2hrs

Therefore, distance = 2xkm

From the second statement, speed = x + 2 ( since speed increased by 2km/h) and t = 3hrs

distance = 3 X (x + 2) = 3x + 6

But total distance = 36km(given)

Total distance = 2x + 3x + 6 = 36 i.e. (dist. from the first statement + dist. from the second statement)

5x + 6 = 36

5x = 36 - 6 = 30 

x = (initial speed) = \(\frac{30}{5}\) = 6Km/h

check = total distance = 36 = 2x + 3x + 6 = 12 + 18 + 6 = 36.