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.
- 9km
- 12 km
- 15 km
- 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:
