A taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The arrows represent one-way streets. a) Using vectors, find two different routes that go from A to C via B. b) Show that the total displacement is equal in each case. In the taxi, travelling northbound takes 12 min per block, travelling southbound takes 5 min per block, travelling westbound takes 6 min per block, travelling eastbound takes 8 min per block, and travelling northeast or southwest takes 10 min per block. c) Which of your routes takes less time?

Algebra: Structure And Method, Book 1
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A taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The arrows represent one-way streets.

a) Using vectors, find two different routes that go from A to C via B.

b) Show that the total displacement is equal in each case. In the taxi, travelling northbound takes 12 min per block, travelling southbound takes 5 min per block, travelling westbound takes 6 min per block, travelling eastbound takes 8 min per block, and travelling northeast or southwest takes 10 min per block.

c) Which of your routes takes less time?

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