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# 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

**Solution:**

Let the length of his total journey be x km.

Then his journey by train be 2x/5, by bus be x/3 and by car be x/4

The linear equation we get is

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

x - 2x/5 - x/3 - x/4 = 3

x/60 = 3

x = 180

Thus, the length of his total journey is 180 km.

**✦ Try This:** A man travelled two fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 4 km on foot. What is the length of his total journey?

Let the length of his total journey be x km.

Then his journey by train be 2x/5, by bus be x/3 and by car be x/4

A/Q

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

x - 2x/5 - x/3 - x/4 = 4

x/60 = 4

x = 4(60)

x = 240

Thus, the length of his total journey is 240 km.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 4

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 95**

## 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

**Summary:**

Thus, the length of his total journey is 180 km

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