Ratio between speeds of 2 trains is 5 : 3. If the first train runs 350 km in 2…

Concept: Speed = Distance ÷ Time. When two speeds are in a given ratio, one speed can be found from the other using that ratio — if Speed1 : Speed2 = a : b, then Speed2 = Speed1 × (b/a).

1. Speed of the first train = 350 km ÷ 2 hours = 175 km/hr.

2. Given ratio of speeds (first train : second train) = 5 : 3, so 175/x = 5/3, where x is the second train's speed.

3. Cross-multiplying: 5x = 175 × 3 = 525, so x = 525/5 = 105 km/hr.

Cross-check: 175 : 105 simplifies (dividing both by 35) to 5 : 3, matching the given ratio — this confirms the answer.