Question

A man walks 1 1/2km from his home towards the East and then from there, he walks 2/3km towards the West. he walks 1/4 km towards east again. where is he from his home now​

Answer 1

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HERE YOU GO

Let us consider a Cartesian plane thinking positive X-axis as East;negative one as West;positive Y-axis as North;negative as South.Now A is at origin.It moves towards positive x axis 1 Km;towards negative Y axis 5Km;2 Km towards positive X axis;9 Km towards positive Y axis.On the whole it will traveled 9−5=4 Km from origin vertically and 1+2=3 Km from origin horizontally.By using Pythagoras theorem we get hypotenuse 5 Km from the origin.

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Answer 2

The correct answer is
5 km away

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