CA Foundation · Quantitative Aptitude · Direction Tests
A person walks 7 km north, then 24 km east. What is the straight-line distance from the starting point, and what is the total distance walked?
The straight-line distance is 25 km and the total distance walked is 31 km. The displacement uses the right-triangle rule on the 7 km and 24 km legs, while the distance walked is the simple sum of the two legs.
- A25 km and 31 kmCorrect
- B31 km and 25 km
- C25 km and 25 km
- D17 km and 31 km
Explanation
The legs are perpendicular, so the straight-line distance is sqrt(49+576) = sqrt(625) = 25 km. The total distance walked is 7+24 = 31 km. The second option swaps the two quantities.
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