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    Question

    A is twice efficient as B and B can do a piece of work

    in 40 days. B started the work and after a few days A joined him. They completed the work in 32 days. From the starting, for how many days they worked together?
    A 6 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 4 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer
    E 12 days Correct Answer Incorrect Answer

    Solution

    B’s one day work = `1/40` A’s one day work = `1/20` (A + B) one day work = `1/40+1/20=(1+2)/40=3/40` Now, let us assume A joined B after (32 - x ) days then, `(32-x)/40+(x xx3)/40=1`  `=>(32-x+3x)/40=1`  32 + 2x  = 40  x = 4

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