Question

Raj travelled from a point X straight to Y at a distance of 80 m. He turned right and walked 50 m, then again turned right and walked 70 m. Finally, he turned right and walked 50 m. How far is he from the starting point?

• A. 10 metres
• B. 20 metres
• C. 50 metres
• D. 70 metres

Hint:

Fix an axis (east as +x, north as +y) and track coordinates with each turn. Parallel opposite legs often cancel out.

Answer 1

The Correct Option is A

Assume X at \((0,0)\) and first move is east.
1) X \(\to\) Y: \(80\) m east \(\Rightarrow\) position \((80,0)\).
2) Turn right (towards south) \(50\) m \(\Rightarrow\) \((80,-50)\).
3) Turn right (towards west) \(70\) m \(\Rightarrow\) \((10,-50)\).
4) Turn right (towards north) \(50\) m \(\Rightarrow\) \((10,0)\).
Distance from start \(=\) distance between \((0,0)\) and \((10,0)\) \(=\) \(\boxed{10\ \text{metres}}\).
% Topic - Direction & Distance