Vandana drove her car for 30 kms due North. Then she turned left and drove for 40 kms. She then turned left again and drove yet another 30 kms. Again she turned left and drove her car 50 kms. How far do you think she actually drove her car from the initial position?

10 kms

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50 kms

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30 kms

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None

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Solution

The correct option is D 10 kms
Path followed by Vandana is
Starting point $=$ A
End point $=$ E
Let us consider a Cartesian plane thinking positive X-axis as East; negative one as West; positive Y-axis as North; negative as South.
Vandana moves along positive Y axis 30 Km then 40 Km parallel to X axis and then 30 Km parallel to Y axis and then along X axis 40 Km.
Finally, she will be 10 Km from the origin.

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