A man covers $\frac{5}{12}$ of a total journey by train, $\frac{7}{18}$  of the journey by bus and the remaining 7 km on foot. His total journey (in km) is:

36 km

Solution,

\(\frac{5}{12}\)x + \(\frac{7}{18}\)x = \(\frac{29}{36}\)x,

⇒ x - \(\frac{29}{36}\)x = 7km,

⇒ \(\frac{7}{36}\)x = 7,

⇒ x = 36,

Therefore total distance traveled is 36 Km.