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Raj walked 20 metres towards South. Then he turned to his left and walked 25 metres. He then turned to his left and walked 20 metres. He again turned to his right and walked 10 metres. At what distance is he from the starting and in which direction?

Question

Raj walked 20 metres towards South. Then he turned to his left and walked 25 metres. He then turned to his left and walked 20 metres. He again turned to his right and walked 10 metres. At what distance is he from the starting and in which direction?

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Solution

Raj started by walking 20 meters south. Then he turned left, which would now be towards East, and walked 25 meters. Then he turned left again, which would now be towards North, and walked 20 meters. Finally, he turned right, which would now be towards East, and walked 10 meters.

To find out how far he is from the starting point, we need to consider his final position relative to the starting point.

In the North-South direction, he initially walked 20 meters South, then 20 meters North, so he is back at the same level as the starting point.

In the East-West direction, he walked 25 meters East, then another 10 meters East, for a total of 35 meters East.

So, Raj is 35 meters away from his starting point, in the East direction.

This problem has been solved

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