Question

A man travelled 3/5 of his journey by rail , 1/4 by taxi 1/8 by a bus and the remaining 2 km on foot . What is the length of his total journey ?

Answer 1

Let the length of total journey be x km

According to question,

3/5x + 1/4x + 1/8x + 2 = x

39/40x + 2 = x

x/40 = 2

x = 80

Therefore, length of total journey is 80 km

Answer 2

Given: Journey travelled by rail = $\frac{3}{5}$ of total journey

           Journey covered by taxi = $\frac{1}{4}$ of total journey

           Journey covered by bus = $\frac{1}{8}$ of total journey

            Journey covered on foot(by walking) = 2 km

To find: Length of total journey

Let: Total journey be $x$ km

Solution:

∵ Total journey = Journey travelled by rail + journey travelled by taxi + journey travelled by bus + journey travelled on foot

Now, according to the given question and assumption made,

Total journey $(x)$  = $\frac{3}{5}x + \frac{1}{4}x + \frac{1}{8}x + 2$

⇒  $x = \frac{24x \ + \ 10x \ + \ 5x \ + \ 80}{40}$

⇒ $40x = 39x + 80$

⇒ $40x - 39x = 80$

⇒ $x = 80km$

Hence, the length of total journey is 80km.