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:
- 16/3 days
- 17/3 days
- 14/3 days
- 13/3 days
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.
