In how many days can ‘B’ alone complete the work

    A,B, and C together can complete the work in 4 32/37 days.  

    A and B together can complete the work in 6 2/3 days, B and C together can complete the work together in 8 2/11 days and A and C together can complete the work in 7 1/3 days.

  • If the data in both statements I and II together are necessary to answer the question.
  • If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
  • If the data either in statement I alone or in statement II alone are sufficient to answer the question.
  • If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • If the data given in both statements I and II together are not sufficient to answer the question.
  • Explanation:

    I. (A+B+C)'S 1day's work = 37/180

    II. (A+C)'s 1 day's work-(A+C)'s 1day's work

    =37/180-3/22

    (A+B+C-A-C)'s 1 day's work = 814-540/180×22

    B's 1day's work = 274/180×22

    B's 1da's work = 137/1980

    ∴B can complete the work = 1980/37

    =53 19/37 days

    Hence, the data in both statements I and II together are necessary to answer the question.

     


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In how many days can ‘B’ alone complete the work A,B, and C together can complete the w
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