A person performs half of his journey by train, one-third by bus, and the remaining 5 km by auto rickshaw. Find his total journey.

The total journey is 30 km.

Let the total distance be x km.

Train covers x/2 and bus covers x/3.

The auto covers the rest: x - x/2 - x/3 = x/6 = 5.

Solving, x = 5 x 6 = 30.

So the total journey is 30 km.