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Trains start towards each other from two stations at different times: when and where they meet

This type of question, asked 3 times: CDS 1 2017, CDS 2 2022, CDS 1 2024. All 3 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    31
    A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km ?

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  2. Question 2

    CDS 2 2022

    16
    There are two stations X and Y, 1320 km apart. A train starts from station X at 6 a.m. and moves at an average speed of 60 km/hr. At 2 p.m. another train starts from Y towards X and moves at an average speed of 80 km/hr. When do they meet ?

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  3. Question 3 (case study, 3 parts)

    CDS 1 2024

    Consider the following for the next three (03) items that follow : Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km.
    73
    How far from station Q will the two trains meet ?

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    74
    At what time will the two trains meet ?

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    75
    If the lengths of the two trains A and B are 400 m and 500 m respectively, then what is the time taken by them to cross each other ?

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