How Many Days will it Take Them to Complete the Remaining Work ?

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will it take them to complete the remaining work ?

  1. 4
  2. 6
  3. 8
  4. 10
Manish Listener Asked on 19th June 2015 in Maths.
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1 Answer(s)

Answer: (2) 6
Explanation:-
16 women can do complete the work = 12 days
16 women can do work in a day = 1/12
1 women can do work in a day = 1/12 x 16 = 1/192

12 men can do complete the work = 8
12 men can do work in a day = 1/8
1 man can do work in a day = 1/8 x 12 = 1/96

16 men can do work in a day = 1 x 16 /96 = 1/6
16 men can do work in 3 days = 1 x 3 /6 = 1/2
After 3 days 10 men left and 4 women joined
Then,    remaining men = 16 – 10 = 6 men
6 men and 4 women can do remaining work = 2(6/96 + 4/192)
= 2(1/16 + 1/48)
= 2(3  + 1)/48
= 2 x 4/48 = 1/6
Thus, 6 men and 4 women can complete the work in 6 days
Hence, the answer is (2) 6 days

Anurag Mishra Professor Answered on 19th June 2015.
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