CA Foundation · Quantitative Aptitude · Direction Tests
A ship sails 24 km towards the east and then 7 km towards the north. A second ship sails from the same port directly to the first ship's final position. How far does the second ship sail?
The second ship sails 25 km. The first ship's path forms a right triangle with legs 24 km and 7 km, and the direct route is the hypotenuse, the square root of 576 plus 49, which equals 25 km.
- A31 km
- B17 km
- C25 kmCorrect
- D26 km
Explanation
East and north are perpendicular, so the direct distance is √(24² + 7²) = √(576 + 49) = √625 = 25 km. The 31 km option adds the legs, which would be the path of the first ship, not the direct route.
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