A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his total journey?

Let the total length of the journey be x km.

Distance travelled by train = (2/5)x km

Distance travelled by bus = (1/3)x km

Distance travelled by car = (1/4)x km

Remaining distance = 3 km

As per the question, we have

x = (2/5)x + (1/3)x + (1/4)x + 3

x − (2/5)x − (1/3)x − (1/4)x = 3

(60x − 24x − 20x − 15x)/60 = 3   [LCM of 5, 3 and 4 = 60]

(60x − 59x)/60 = 3

x/60 = 3

x = 3 × 60 = 180 km

Thus, the required journey = 180 km.