Two trains start at the same time from $A$ and $B$ towards each other at $40$ km/h and $50$ km/h…

Two trains start at the same time from $A$ and $B$ towards each other at $40$ km/h and $50$ km/h respectively. If $AB = 270$ km, they meet after:
  1. $2.5$ hr
  2. $3$ hr
  3. $3.5$ hr
  4. $4$ hr

Solution

Relative speed $= 40 + 50 = 90$ km/h. Time $= \dfrac{270}{90} = 3$ hr.

Asked in: IMO

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