SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it?

    A) 10 days

    B)  11 days

    C)  9 days

    D)  12 days

    Correct Answer: D

    Solution :

    \[\because \] 3 men = 4 women
    \[\therefore \]1 man \[=\frac{4}{3}\]women
    \[\therefore \]7 men \[=\frac{7\times 4}{3}=\frac{28}{3}\]women
    \[\therefore \]7 men + 5 women \[=\frac{28}{3}+5=\frac{28+15}{3}=\frac{43}{3}\]women
    Now,     \[{{M}_{1}}{{D}_{1}}={{M}_{2}}{{D}_{2}}\]
    \[\Rightarrow \]   \[4\times 43=\frac{43}{3}\times {{D}_{2}}\]   
    Where, \[{{D}_{2}}=\]number of days
    \[\Rightarrow \]   \[{{D}_{2}}=\frac{4\times 3\times 43}{43}=12\]days


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