Question

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?
​

Answer 1

Answer:

Let the length of his total journey be x

So,

5

2

x+

3

1

x+

4

1

x+3=x

solving

x(

5

2

+

3

1

+

4

1

)−x=−3

=x(

5

2

+

3

1

+

4

1

−1)=−3

=x(

60

2×12+20+1×15−60

)=−3

=x(

60

24+20+15−60

)=−3

=x(

60

−1

)=−3

=

60

x

=3

∴x=180 km

Step-by-step explanation:

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Answer 2

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Answer : Total journey distance is 480 kmLet the distance be ‘X’Distance journey by Car ( X/4) kmDistance journey by Bus ( 2 X/ 3 ) kmHence, the equation is X = [ (X/4) + (2 X/3) + 40] daysX = [ (3 X + 8 X ) / 12 ] + 40( 12 X - 11 X ) = ( 40 x 12 ) days = 480 DaysTotal journey distance is 480 km