4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete
it in 10 dyas. In how many days will 10 women complete it?
(a) 45
(b) 40
(c) 50
(d) 35​

4 men x 8 days = 32 days work content & 6 women x 8 days = 48 work content

6 women at 1/400 per day x 8 days is 48/400. 352+ so 1 mans daily output is 11 work units per day x 4 men = 44 work output per day x 8 days = 352 total work output

3 men x 10 days = 30 days work content & 7 women x 10 days = 70 work content
1 man work output is 11 x 3 men x 10 days = 333 work units

one woman’s work output is 1/400 per day x 7 women = 7/400 per day x 10 days = Total of 70 work output plus men’s output of 330 = 400 work units.

10 women x 40 days = 400 work content

so if 10 men carried out the work its 11 x 10 men = 110 work units per day

400 work units + 110 work units per day = 3.6363 days work for 10 men.

1 women daily work output = 1/400 unit per person x 10 women or 10/400 work units per day so 10 x 40 days

4 Men & 6 Women = 8 days (men = 4 x 8 x 11 = 352)( 6 x 8 x 1/40 = 48/40
3 Men & 7 Women=10 days (men = 3 x 10 x 11 = 330)(7 x 10 x 1/40 =70/40)
10 women at 1/400 each per day x 40 days is 400 work units

while 10 men x 11 units is 110 units per day so for 400 units it’s 3.6363 days

1 man is equal approximately to 11 Women

10 men can do job in 3.6363 days x ratio of 11 =

Answer: It will taken 10 women x 40 days to complete the same job.

40 is the right answer

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