Discussion
A donor goes to bank from his house by bicycle. He first travels 5 km towards South, then 20 km towards East, then 5 km towards South. then 15 km towards East, then 20 km towards West, then 35 km towards North, and finally 15 km towards West. What is the shortest distance between his bank and his house?
Answer: B
The bank is 25 km from his house.
Add the East-West and North-South moves separately.
\[ \begin{aligned} \text{East} &= 20 + 15 - 20 - 15 = 0 \\ \text{North} &= -5 - 5 + 35 = 25 \end{aligned} \]
The East-West moves cancel, so he ends 25 km due North of the house, and the straight-line distance is 25 km. 35 km is the last northward leg alone, 40 km comes from adding the North-South legs without signs, and 15 km is one of the westward legs.
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