Train A leaves from Lucknow to Kanpur. Half an hour later train B leaves for Lucknow from Kanpur. Two hours after A had started, the trains meet. A has covered 50% more distance than train B when they meet. What is the ratio of the speeds of train A to train B?

Train A travels for 2 hours. Train B starts 0.5 hours later, so travels for 1.5 hours. When they meet, A covers 50% more distance than B. Distance_A = 1.5 × Distance_B. Since Distance = Speed × Time: Speed_A × 2 = 1.5 × (Speed_B × 1.5). Speed_A × 2 = 2.25 × Speed_B. Speed_A / Speed_B = 2.25 / 2 = 9/8. Therefore ratio is 9:8. Options B, C, and D are incorrect as they don't match this derived ratio.