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CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    The distance of the college and the home of Rajeev is 80 km. One day was late by 1 h than the normal time to leave for the college, so he increased his speed by 4 km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?

    A)  28 km/h        

    B)  30 km/h

    C)  40 km/h        

    D)  20 km/h

    Correct Answer: D

    Solution :

    Let the normal speed be \[x\,\,km/h,\] then \[\frac{80}{x}-\frac{80}{(x+4)}=1\] \[\Rightarrow \] \[{{x}^{2}}+4x-320=0\] \[\Rightarrow \] \[x(x+20)-16(x+20)=0\] \[\Rightarrow \] \[(x+20)\,(x-16)=0\] \[\Rightarrow \] s\[x=16\,\,km/h\] \[\therefore \] \[(x+4)\,=20\,\,km/h\]  Therefore, increased speed = 20 km/h


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