Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5 km and finally takes a right turn to cover 10 km. How far is he from his original position?
- A10 km
- B20 km
- C15 km
- D25 km
Solution & Step-by-step Explanation
Let's map Ram's movements step-by-step from the starting position (0,0):
Starts towards East: Travels 5km.
New Position=(5,0)
Takes a Left turn (North): Travels 10km.
New Position=(5,10)
Takes a Right turn (East): Travels 5km.
New Position=(5+5,10)=(10,10)
Takes a Right turn (South): Travels 10km.
New Position=(10,10−10)=(10,0)
Now, let's calculate the distance between his final position (10,0) and his original position (0,0):
Total horizontal distance=5km+5km=10km
He is exactly 10km away from his original position.
Starts towards East: Travels 5km.
New Position=(5,0)
Takes a Left turn (North): Travels 10km.
New Position=(5,10)
Takes a Right turn (East): Travels 5km.
New Position=(5+5,10)=(10,10)
Takes a Right turn (South): Travels 10km.
New Position=(10,10−10)=(10,0)
Now, let's calculate the distance between his final position (10,0) and his original position (0,0):
Total horizontal distance=5km+5km=10km
He is exactly 10km away from his original position.