In How Many Days 18 Women can Complete the Work.

4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete in 8 days. The number of days 18 women complete the work:

  1. 16/3 days
  2. 17/3 days
  3. 14/3 days
  4. 13/3 days
Monis Rasool Professor Asked on 29th August 2015 in Maths.
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1 Answer(s)

Answer: (1) 16/3 days

Explanation:-
Let a man can work in a day = X  and A woman can work in a day = Y.
4 men and 6 women complete a work in 8 days,
Then, 4 X + 6 Y  = 1/8 …………………………. (1)
2 men and 9 women also complete in 8 days,
2 X + 9 Y = 1/8          ………………………… (2)
Solve equation (1) & (2),
Then,  X = 1/64  &  Y = 1/96

Therefore, 1 woman can do a work in a day = 1/96
Then,  18 women can do in a day = 18/96
= 3/16

There are 18 women can complete the work in 16/3 days.

Hence, the answer is (1) 16/3 days.

Anurag Mishra Professor Answered on 3rd September 2015.
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