Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

We are given:

• Train A reaches its destination 9 hours after meeting
• Train B reaches its destination 16 hours after meeting

Concept:
Let the two trains meet at point M.After meeting, the time taken to reach their destinations is inversely proportional to their speeds.

Step 1: Use inverse time-speed relationship
Speed of Train A / Speed of Train B = √(16) / √(9)= 4 / 3

Final Answer:
The ratio of their speeds is 4:3