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6th Class Mathematics Related to Competitive Exam Question Bank Distance, Time and Speed

  • question_answer
    Two buses travel to a place at 45 km/hr and 60 km/hr respectively If the second bus takes \[5\frac{1}{2}\] hrs less than the first for the journey, the length of the journey is

    A) 900km          

    B)          945km

    C) 990km            

    D)          1350km

    Correct Answer: C

    Solution :

        Let the length of the journey be x km. Then, \[\frac{x}{45}\,-\frac{x}{60}\,=\frac{11}{2}\,\Rightarrow \,\frac{4x-3x}{180}\,=\frac{11}{2}\,\Rightarrow \,\frac{x}{180}=\frac{11}{2}\] \[\Rightarrow \,x=\frac{11\times 180}{2}\,=990\,km\].


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