Raj starts from point A and walks 7kms towards West direction. He then takes a left turn and walks 11kms, turns left and walks 11kms, turns left and walks 7kms. He then takes the final left turn, walks 4kms and stops at point B. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Raj starts from point A and walks 7kms towards West direction. He then takes a left turn and walks 11kms, turns left and walks 11kms, turns left and walks 7kms. He then takes the final left turn, walks 4kms and stops at point B. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)
Solution
A left turn changes the direction as: West South East North West.
(When facing West, the left hand points South, and so on.)
Walk 1: km West
Walk 2: left turn, km South
Walk 3: left turn, km East
Walk 4: left turn, km North
Walk 5: left turn, km West
East-West movement:
West km, East km
Net East-West movement
North-South movement:
South km, North km
Net movement km South
Raj stops km directly South of point A.
To return to A, he must travel km towards North.
Therefore, the answer is kms towards North.