Multiple Choice Questions on If the ratio of work done by x 2 workers in x 3 days to the work done by x 4 workers in x 2 days is ........... for CDS Exam Preparation

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Multiple Choice Questions

If the ratio of work done by x 2 workers in x 3 days to the work done by x 4 workers in x 2 days is ...........

Quantitative Aptitude (CDS) Time and work
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    If the ratio of work done by (x + 2) workers in (x-3) days to the work done by (x+4) workers in (x -2) days is 3:4 , then what is the value of x ?

    8

    Incorrect Answer

    10

    Correct Answer

    12

    Incorrect Answer

    15

    Incorrect Answer
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    Explanation:

    \frac{(x+2)(x-3)}{(x+4)(x-2)}= \frac{x^{2} - x - 6 }{x^{2} + 2x - 6}=\frac{3}{4}
    =>4x^{2}-4x-24=3x^{2}+6x-24 = x^{2}-10x=0
    =>x=10,0 => x=10

    By: Munesh Kumari
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