7th Class Science Time and Motion Question Bank Motion and Time

  • question_answer
    Kiran and Sharan start from their home at the same time but travel by different routes to reach their school. Kiran's house is at a distance of 1500 m from school while Sharan's house is 2000 m from school. If both reach school at the same time, what can be inferred?

    A)  Kiran's speed is greater than Sharan's.

    B)  Sharan's speed is greater than Kiran's.

    C)  Sharan travels with a speed of \[75\,m\,{{\min }^{-1}}\]

    D)  Kiran travels with a speed of \[100\,m\,{{\min }^{-1}}\]

    Correct Answer: B

    Solution :

    Assume that both took 20 minutes to reach the school. \[\text{Speed}\,\text{of}\,\text{Kiran}\,\text{=}\,\frac{\text{Distance}\,\text{travelled}}{\text{Time}\,\text{taken}}\,\text{=}\,\frac{\text{1500}}{\text{20}}\] \[\text{=75}\,\text{m}\,\text{mi}{{\text{n}}^{-1}}\] \[\text{Sharan}\,\text{=}\,\frac{\text{2000}}{\text{20}}\,\text{=}\,\text{100}\,\text{m}\,\text{mi}{{\text{n}}^{-1}}\] Sharan walks \[\text{100}\,\text{m}\,\text{mi}{{\text{n}}^{-1}}\] while Kiran walks \[\text{75}\,\text{m}\,\text{mi}{{\text{n}}^{-1}}.\] Thus, Sharan walks faster than Kiran.


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