7 men and 3 women complete the work together in 10 days. 8 men and 2 women complete the same work In 8 days. How much work can be done by 10 men in one day?
Answers
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
Then, 4x + 6y = 1/8
and 3x + 7y = 1/10
Solving the two equations, we get: x = 11/400, y = 1/400
1 woman's 1 day's work = 1/400
10 women's 1 day's work = (1/400)*10 = 1/40
Hence, 10 women will complete the work in 40 days
Answer:
40 days
Step-by-step explanation:
Work done by 4 men and 6 women in 1 day = 1/8
Work done by 3 men and 7 women in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 ---(1)
3m + 7w = 1/10 ---(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 women can do in a day = 10 × (1/400) = 1/40
Ie, 10 women can complete the work in 40 days