Sumeet starts from Point Y and drives 12 km towards the West. He then takes a left turn, drives 74 km, turns right and drives 65 km. He then takes a right turn and drives 57 km. He takes a right…
Question and options
Sumeet starts from Point Y and drives 12 km towards the West. He then takes a left turn, drives 74 km, turns right and drives 65 km. He then takes a right turn and drives 57 km. He takes a right turn, drives 31 km. He then turns left and drives 17 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90 degrees turns only unless specified)
- 46 km towards the east
- 44 km towards the east
- 49 km towards the west
- 48 km towards the west
Answer and explanation
Correct answer: A - 46 km towards the east
Take Y=(0,0). 12 W -> (-12,0); left turns him south, 74 -> (-12,-74); right turns him west, 65 -> (-77,-74); right turns him north, 57 -> (-77,-17); right turns him east, 31 -> (-46,-17); left turns him north, 17 -> (-46,0)=Z. Y is 46 km due east of Z.
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