1 Answers

Option 2 : 4 : 5

Let the distance between the stations be 3x km and the speed of the express train and passenger train be 2x km/h and x km/h respectively and

We know that

Speed = Distance/Time

⇒ Time of first meeting = 3x/(2x + x) = 1 hr

Distance covered by Express train till first meeting = 2x km

Distance covered by Passenger train till first meeting = x km

⇒ Time taken by Express train to reach Delhi after meeting = (3x – 2x)/x = 1 hr

⇒ Time taken by Passenger train to reach Agra after meeting = (3x – x)/2x = 1 hr

Time of second meeting = 3x/(2x + x) = 1 hr

Distance covered by Passenger train after first meeting = 2x × 2 = 4x km

Distance covered by Express train after first meeting = x × 2 = 2x km

∴ Required ratio = (2x + 2x) : (x + 4x) = 4 : 5
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