Q6 of 80 Page 42

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?

The distance walked by the man = 10 km.

Let the distance travelled by the train be x km.


∴ The distance travelled by bus = 2x km.


The total distance travelled by the man = 70 km.


According to the given condition,


10 + x + 2x = 70


⇒ 10 + 3x = 70


⇒ 3x = 70 – 10 (Transposing 10 to RHS)


3x = 60


⇒ x = (Transposing 3 to RHS)


x = 20


The distance travelled by train = x = 20 km.


∴ The man travelled 20 km by train.


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