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

  • question_answer
    A train X starts from Meerut at 4 pm and reaches Ghaziabad at 5 pm while another train Y starts from Ghaziabad at 4 pm and reaches Meerut at 5:30 pm. The two trains will cross each other at

    A) 4:36 pm

    B) 4:42 pm

    C) 4:48 pm

    D) 4:50 pm

    Correct Answer: A

    Solution :

    [a] Let the distance between Meerut. and Ghaziabad be a km. Time taken by X to cover a km = 1 h Time taken by Y to cover a km\[=\frac{3}{2\,}\,h\] Speed of X \[=a\,km/h,\] Speed of\[\text{y}\left( \frac{2a}{3} \right)\,km/h\] Let they meet b h after 4 pm, then \[\Rightarrow \]            \[ab+\frac{2ab}{3}=1\] \[\Rightarrow \]            \[b\left( 1+\frac{2}{3} \right)=1\] \[b=\frac{3}{5}h=\frac{3}{5}\times 60\,\min =36\min \] Hence, the trains meet at 4 : 36 pm.


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