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:

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Step-by-step explanation:

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Answer 2

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 total length of his journey ?

Concept:-

Here we have to find the length of journey.And we have given that two-fifth of his journey is covered by train,one third by bus,one-fourth by car,and the remaining 3 km on foot.So we will find this from the length of journey be j.

Let's Solve!

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Given:-

Two-fifth of the journey is covered by train,one third by bus,one-fourth by car,and the remaining 3 km on foot.

To Find:-

The total length of journey.

Unknown:-

Let the total length of the journey be j.

.°.Length of the journey covered by train would be:-

$: \longrightarrow{ \large {\sf{ \frac{2}{5} \times j = \frac{2}{5}j} }} \\ \\ \sf{length \: of \: the \: journey \: covered \: by \: bus \: would \: be : } \\ \\ : \longrightarrow{ \large{ \sf{ \frac{1}{2} \times j = \frac{1}{2}j}}} \\ \\ \sf{length \: of \: journey \: covered \: by \: car \: would \: be : } \\ \\ : \longrightarrow{ \large{ \sf{ \frac{1}{4} \times j = \frac{1}{4}j}}}$

Equation:-

The journey covered by foot = 3 km.The total length of the journey would be : 2/5j + 1/2j + 1/4j + 3 = j

2/5j, 1/3j, 1/4j, 3 km = j

Solution:-

$\sf{ \frac{2}{5}j + \frac{1}{2}j + \frac{1}{4}j3 = j} \\ \\ :\longrightarrow{ \sf{ \frac{59}{60}j + 3 = j}} \\ \\ : \longrightarrow{ \sf{ \frac{59}{60}j + 3 - \frac{59}{60} = j - \frac{59}{60}j}} \\ \\ : \longrightarrow {\sf{3 = \frac{1}{6}j}} \\ \\ : \longrightarrow{ \sf{3 \times 60 = \frac{1}{60} \times 60j}}$

j = 180

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Hence,the total length of the journey is 180 km.

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