Discussion
Ram starts from his house and walks 4 km North, then 3 km West, then 8 km south. How many km away from his home was he?
Answer: C
He is 5 km from home.
Walking 4 km north and then 8 km south leaves him 4 km south of his starting line, and he is 3 km west. The straight-line distance is the hypotenuse:
\[ d = \sqrt{4^{2} + 3^{2}} = \sqrt{25} = 5\ \text{km} \]
7 km adds the two offsets instead of combining them at right angles. 8 km is the last leg alone, and 6 km does not follow from the moves.
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