How Long will They Together take to Complete the Work? If

Beena can do a piece of work in 40 days. She works at it for 8 days and then Sangeeta finished it in 16 days. How long will they together take to complete the work?

  1. 46/3 days
  2.  31/3 days
  3.  40/3 days
  4.  None of these
Abdul Salam Newbie Asked on 7th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 40/ 3 days

    Explanation:-

    Beena can do a piece of work = 40 days
    Then, she can do work in a day = 1/40

    Beena can do work in 8 days = 8 /40 = 1/ 5
    Remaining work = 1 – 1/5
    = 4/5

    Sangeeta can do work in 16 days = 4 /5
    Then, she can do work in 1 day = 4 / 5 x 16
    = 1/20

    Beena and Sangeeta both can do work in a day = 1 / 40 + 1/ 20
    = (1 + 2) /40
    They together can do complete the work = 40/ 3 days.

    Hence, the answer is (3) 40 / 3 days.

    Anurag Mishra Professor Answered on 7th August 2015.
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