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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.

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Solution

Let the man travels by bus be x
and the man travels by train be 2x

So, according to the question if the man walks for 10km out of the total journey then it means the remaining journey is done by bus and train out of the total journey i.e 70km
Thus,

Journey by bus+Journey by train=Total journey done by bus and train

x+2x=7010
3x=60
x=20
2x=40

So the distance traveled by train is 40km

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