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Question

One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometres will he have to cycle to reach his home straight?

A
10 km
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B
15 km
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C
20 km
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D
25 km
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Solution

The correct option is B 15 km
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 Ravi is at origin.
Here he goes 10 km to negative Y axis after that 5 Km towards negative X axis; then towards positive Y axis 10 Km and finally 10 Km negative X axis.
Hence, finally he will be at a distance of 15 Km from the origin horizontally that is from his house.

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