Alfie starts at a point O, cycles 9 km west and then 20 km north. Beth starts at O and cycles 6 km east. How far apart are they at the end?
Answer and explanation
Correct answer: B. 25 km
- Step 1: The east-west gap is 9 + 6 = 15 km. Step 2. The north-south gap is 20 km. Step 3. Distance = √(15² + 20²) = √625 = 25 km. Answer: 25 km. Why not the others: 15 km: This is the east-west gap only, leaving out the 20 km north. 35 km: This adds the east-west gap and the north-south gap, 15 + 20. 22 km: This is about the straight-line distance from O to Alfie, √481, and ignores where Beth is.
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