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SSC Quantitative Aptitude Boats & Streams Question Bank Train and Boat (I)

  • question_answer
    Two trains 100 m and 95 m long respectively pass each other in 27 s when they run in the same direction and in 9 s when they run in opposite directions. Speeds of the two trains are

    A) 36 km/h, 18 km/h

    B) 40 km/h, 20 km/h

    C) 44 km/h, 22 km/h

    D) 52 km/h, 26 km/h

    Correct Answer: D

    Solution :

    [d] Let the speeds of trains are x and y km/h (where x > y) By condition given in question, \[\frac{100+95}{27}\times \frac{18}{5}=x-y\]                    …(i) and      \[\frac{100+95}{27}\times \frac{18}{5}=x-y\]                   …(ii) From Eqs. (i) and (ii), we get \[x-y=26\] and      \[x-y=78\]


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