A train crosses a pole in 24 seconds. A second train of the same length crosses a platform in 30 seconds with a speed 20% more than the first train. Find the ratio of the length of the train to the length of the platform.

2: 1
3: 1
2: 3
3: 2

Correct answer: 2: 1

Solution

From pole crossing, the first train's speed is length/24. The second train has 20% more speed, so its speed is 1.2 times the first. Using the 30-second platform crossing relation gives the platform length as equal to the train length, so the ratio is 2:1.

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