Two train start from 200 km apart from A & B meet at a distance of 110 m from end of the point the ratio of the speed of train \( A \& B \)
1. The Key Principle
When two objects start at the same time and travel towards each other, the time they travel until they meet is the same for both. Because of this, the ratio of their speeds is equal to the ratio of the distances they covered in that time.
2. Find the Distance Covered by Each Train
- Total distance between points A and B = 200 km.
- The meeting point is 110 km from point A.
- Distance covered by Train A = 110 km.
- Distance covered by Train B = (Total Distance) - (Distance by A) = 200 - 110 = 90 km.
3. Calculate the Ratio of Speeds
- Ratio of Speeds (A : B) = Ratio of Distances Covered (A : B)
- Ratio = 110 : 90
- Simplifying the ratio by dividing both sides by 10 gives: 11 : 9.
Final Answer: The ratio of the speed of train A to train B is 11 : 9.
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