Question

Mangal walks 30 m north from his house, then he takes a right turn and walks 20 m. He then takes a right turn and walks 30 m, then turns left and walks 20 m, then he turns right and walks 10 m. Finally, he takes a right turn and walks 40 m. In which direction and how many metres is Mangal now from his house? (All turns are 90° turns only)

• A. 10 m, south
• B. 10 m, west
• C. 20 m, east
• D. 20 m, north

Answer 1

Answer:

A. 10 m, south

Mangal is 10 metres South from his house.

• Walks 30 m North: He is now 30 m North of his house. (Facing North)

• Turns right, walks 20 m: He is now 30 m North and 20 m East. (Facing East)

• Turns right, walks 30 m: Moving South cancels out his North distance. He is now exactly 20 m East of his house. (Facing South)

• Turns left, walks 20 m: Facing South, a left turn points East. He is now 40 m East of his house line (20 m + 20 m). (Facing East)

• Turns right, walks 10 m: Facing East, a right turn points South. He is now 40 m East and 10 m South. (Facing South)

• Turns right, walks 40 m: Facing South, a right turn points West. Walking 40 m West perfectly cancels out his 40 m East distance.

Final Summary

• East-West tracking: He walked 40 m East in total, then 40 m West. He is perfectly in line with his house.

• North-South tracking: His initial North and South movements canceled each other out, leaving only the final 10 m South movement.