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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