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

Starting from \((0,0)\) and moving east initially:
1) Move east \(80\) m: \((0,0) \to (80,0)\).
2) Turn right (south) and move \(50\) m: \((80,0) \to (80,-50)\).
3) Turn right (west) and move \(70\) m: \((80,-50) \to (10,-50)\).
4) Turn right (north) and move \(50\) m: \((10,-50) \to (10,0)\).
Distance from the origin \(=\) distance between \((0,0)\) and \((10,0)\) \(=\) \(\boxed{10\ \text{metres}}\).

% Topic - Direction & Distance