Meeting point and speed ratio John starts from A towards B; Vinod from B towards A. Distance AB = 125 km. They meet at a point 75 km from A. What is John’s speed : Vinod’s speed?

Introduction / Context:
When two travelers start at the same time toward each other and meet, the distances covered by them up to the meeting point are in the same ratio as their speeds.

Given Data / Assumptions:

• AB = 125 km.
• Meeting point is 75 km from A and 50 km from B.
• They start simultaneously and travel uniformly.

Concept / Approach:
Speed ratio = distance ratio to meeting point.

Step-by-Step Solution:

Verification / Alternative check:
If John’s speed is 30 and Vinod’s 20 (3:2), they meet after t such that 30t + 20t = 125 ⇒ t = 2.5 h; John covers 75, Vinod 50.

Why Other Options Are Wrong:
Other ratios don’t fit 75:50 once simplified.

Common Pitfalls:
Accidentally using remaining distances after meeting; here the meeting-point distances are the ones to compare.

Final Answer:
3 : 2