Question

a man walks 10km then travels a certain distance by train and then by buses far as twice by the train. if the whole journey is of 70km, how far did he travel by train​

Answer 1

$\sf\small\underline\blue{Let:-}$

$\sf{\longrightarrow Distance\: covered\:_{(train)}=x}$

$\sf{\longrightarrow Distance\: covered\:_{(bus)}=2x}$

$\sf\small\underline\blue{Given:-}$

$\sf{\longrightarrow Total\: distance=70km}$

$\sf{\longrightarrow Distance\: covered\:by\:walk=10km}$

$\sf\small\underline\blue{To\:Find:-}$

$\sf{\longrightarrow Distance\: covered\:_{(train)}=?}$

$\sf\small\underline\blue{Solution:-}$

We solve this question by setting up equation. As given in the question that a man walks 10km then travels a certain distance by train and then by buses far as twice by the train. if the whole journey is of 70km.

$\sf\small\underline{Calculation\: begin:-}$

$\sf{\longrightarrow Distance\:_{(by\:car+train+walk)}=Total\:_{(distance)}}$

$\rm{\longrightarrow 2x+x+10=70}$

$\rm{\longrightarrow 3x+10=70}$

$\rm{\longrightarrow 3x=70-10}$

$\rm{\longrightarrow 3x=60}$

$\rm{\longrightarrow x=20}$

$\sf\large{Hence,}$

$\bf{\longrightarrow Distance\: covered\:_{(train)}=20km}$

Answer 2

Question:-

• A man walks 10km then travels a certain distance by train and then by buses far as twice by the train. if the whole journey is of 70km , how far did he travel by train.

To Find:-

• Find how far did he travel by train.

Solution:-

• Let the distance travelled by train be x

• The distance travelled by bus be 2x

According to the Question:-

$\dashrightarrow\sf \: Distance \: covered \: by \: walk + bus + train = 70 \: km$

$\dashrightarrow\sf \: 10 + 2x + x = 70$

$\dashrightarrow\sf \: 10 + 3x = 70$

$\dashrightarrow\sf \: 3x = 70 - 10$

$\dashrightarrow\sf \: x = \dfrac { 60 } { 3 }$

$\dashrightarrow\sf \: x = 20$

Hence ,

• Distance travelled by train = 20 km.

• Distance travelled by bus is 2x = 40 km.