A person from point F drives towards south for 3km to reach point B, where he takes a left turn and drives for 12km to reach

A person from point F drives towards south for 3km to reach point B, where he takes a left turn and drives for 12km to reach

A person from point F drives towards south for 3km to reach point B, where he takes a left turn and drives for 12km to reach point H. Then he takes a right turn and drives for 8km to reach point R from where he turns to his right again and drives for 6km. He then drives for 5km after taking a right turn at point J and reaches point N. At this point he takes a left turn and drives for 8km to reach point V, where he takes a right turn and drives for 2km to reach point K. He finally stops at point Y, which is 3km to the west of point K.

  1. 9km
  2. 12 km
  3. 15 km
  4. None of these

Sol:

In the below diagram shortest distance between starting point and destination denoted by point A and D respectively. 

Given: 

Distance BC = thrice distance between point A and B. 

Distance CD = five times of distance he covered between A and B

Now, Triangle “AED” is a right-angled triangle, so using Pythagoras Theorem:

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