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

  • question_answer
    Two trains 105 m and 90 m long run at the speeds of 45 km/h and 72 km/h respectively in opposite directions on parallel tracks. The time which they take to cross each other, is

    A) 5 s

    B) 6 s

    C) 7 s

    D) 8 s

    Correct Answer: B

    Solution :

    [b] Sum of the length of the trains \[=(105+90)\,m=195\,m\] Relative speed \[=(72+45)\,km/h\] \[=117\text{ }km/h\] \[=\left( 117\times \frac{5}{18} \right)\,m/s=\frac{585}{18}\,m/s.\] Required time\[=\left( 195\times \frac{18}{585} \right)\,s\]                                     \[=6\,s\]


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