Multiple choice

Two trains started their journey at the same time from two stations 200 km apart and travelled in the opposite directions. They crossed each other at a distance of 110 km from one of them. The ratio of their speeds was

  1. 11 : 10 or 10 : 11

  2. 9 : 20 or 20 : 9

  3. 11 : 9 or 9 : 11

  4. 5 : 6 or 6 : 5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since they start at the same time and meet, the time taken is the same. Ratio of speeds = Ratio of distances. One travels 110 km, the other 200-110 = 90 km. Ratio = 110:90 = 11:9.

AI explanation

Since the trains start at the same time and cross each other, the ratio of their speeds is equal to the ratio of the distances they travel. The first train travels 110 km before crossing, so the second train must travel the remaining 200 km - 110 km = 90 km. Therefore, the ratio of their speeds is 110 : 90 or 11 : 9, and reversing the order gives 9 : 11.

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