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

  • question_answer
    A person leaves his house and travelling at 4 kmph reaches his office 10 minute late. Had he travelled at 6 kmph, he would have reached 20 minutes early. Find the distance from his house to the office.

    A) 6 km               

    B)          5 km

    C) 11 km            

    D) 16 km

    Correct Answer: A

    Solution :

        Let the distance be d km. Time taken to travel at \[6\,kmph\,=\frac{d}{6}h\] Time taken to travel at \[4\,kmph\,=\frac{d}{4}h\]. Given that, \[\frac{d}{4}-\frac{d}{6}=\frac{30}{60}\] \[\Rightarrow \,\,d=6\,km\]


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