Explanation:

- The speed ratio of trains X and Y is 3:2.

- Both cover the same distance but with different speeds.

- Time is inversely proportional to speed for the same distance.

- Y takes 36 hours, and its speed is '2' parts, while X’s speed is '3' parts.

- Let the distance be D.

- Time = Distance/Speed.

- So, Time taken by X = (Speed of Y / Speed of X) × Time taken by Y

- This is (2/3) × 36 = 24 hours.

- Let's check the options:

- Option 1: 12 hours

- Option 2: 18 hours

- Option 3: 20 hours

- Option 4: 32 hours

- Option 5: 24 hours

The correct answer is Option 5: 24 hours.