Mohan travels three equal distances at speeds of 12 km/h, 18 km/h and 24 km/h.If he takes a total of 13 hours, then what is the total distance covered?

Let the total distance be 3d

Time taken to cover the distance at speed 12 km/h = $$\frac{d}{12}$$ hour

Time taken to cover the distance at speed 18 km/h = $$\frac{d}{18}$$ hour

Time taken to cover the distance at speed 24 km/h = $$\frac{d}{24}$$ hour

Given, total time = 13 hours

$$\Rightarrow$$  $$\frac{d}{12}+\frac{d}{18}+\frac{d}{24}=13$$

$$\Rightarrow$$  $$\frac{6d+4d+3d}{72}=13$$

$$\Rightarrow$$  $$\frac{13d}{72}=13$$

$$\Rightarrow$$   d = 72 km

$$\therefore\ $$Total distance = 3d = 3 x 72 = 216 km

Hence, the correct answer is Option C