Mr. Q starts from Point Z and drives 7 km towards the north. He then takes a left turn, drives 9 km, turns right and drives 6 km. He then takes a left turn and drives 7 km. He takes a final left turn, drives 13 km and stops at Point A. How far (shortest distance) and towards which direction should he drive in order to reach Point Z again? (All turns are 90 degree turns only unless specified.)
Given - Mr. Q starts from Point Z and drives 7 km towards the north. He then takes a left turn, drives 9 km, turns right and drives 6 km.
He then takes a left turn and drives 7 km.
He takes a final left turn, drives 13 km and stops at Point A.
The required distance = AZ = 7 + 9 = 16 km
distance = A to Z = East direction
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He then turns and walks 40 metres in north-east.
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In which direction is he now moving?
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R starts from Point A and drives 2 km towards the south. He then takes a left turn, drives 7 km, turns left and drives 6 km. He then takes a left turn and drives 14 km. He takes a final left turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only, unless specified.)
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