Question

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

Answer 1

Let the train distance be $x$.
So, the bus distance is $2x$.
According to the condition the equation is:
$10+x+2x=70$
$\Rightarrow 10+3x=70$
​​​​​​​$\Rightarrow 3x=70-10$
​​​​​​​$\Rightarrow 3x=60$
​​​​​​​$\Rightarrow x=20$
So, the distance travelled by train is 20 km.