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

  • question_answer
    In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. What is Abhay's speed?

    A) 3km/hr          

    B)          5km/hr

    C) 7km/hr            

    D) 8km/hr

    Correct Answer: B

    Solution :

        Let Abhay's speed be x km/hr and Sameer 's speed be y km/hr. Then, \[\frac{30}{x}\,-\frac{30}{y}\,=2\]                  ?(i) and \[\frac{30}{y}-\frac{30}{2x}=1\]                       ?(ii) Adding equation (i) and (ii), we get \[\frac{30}{x}-\frac{30}{2x}=3\] \[\Rightarrow \,\,\frac{30}{2x}=3\Rightarrow \,2x=10\Rightarrow \,x=5\,km/hr\] .


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