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Logical Reasoning
mediumQ. No. 19809

A rescue worker follows the route 18 km North, then 15 km East, then 10 km South. What is the shortest distance from the starting camp?

Last Updated:

A19 km
B15 km
C17 km
D43 km
Correct Answer: 17 kmYour Answer: C

Explanation

Step 1: Mark the starting point as O(0,0) and choose East as +x and North as +y. | Step 2: Horizontal calculation: +15 = 15 km; hence the final point is east of O by 15 km. | Step 3: Vertical calculation: +18 + −10 = 8 km; hence it is north of O by 8 km. | Step 6: The total route is 43 km, but that is not the required shortest distance; the direct displacement is 17 km.

Important Notes

  • Use East = +x, West = −x, North = +y and South = −y. |
  • A route may be long while its displacement is small, so never add every segment unless total distance is requested. |
  • Estimate the answer before selecting an option: the displacement must be less than or equal to the route length. |

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