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SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speeds of \[2\frac{1}{2}\]km/h, 3 km/h and 2 km/h respectively. Then, on the starting point all three will meet again after

    A) 30 h     

    B)  6 h    

    C)  10 h    

    D)  15 h

    Correct Answer: C

    Solution :

    A makes one complete round of the circular track in
    \[\frac{5}{2}=2\,\,\text{h}\]
    B in \[\frac{5}{3}\,\,\text{h}\]and C in \[\frac{5}{3}\,\,\text{h}\]
    That is after 2 h A is at the starting point,
    B after \[\frac{5}{3}\,\,\text{h}\]and C after \[\frac{5}{2}\text{h}\text{.}\]
    Hence, the required time = LCM of \[2h,\]\[\frac{5}{3}\,\,h\]and \[\frac{5}{2}\,\,\text{h}\]
    \[=\frac{\text{LCM}\,\,\text{of}\,\,\text{2,5,5}}{\text{HCF}\,\,\text{of}\,\text{3,2}}=\frac{10}{1}=10\,\text{h}\]


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