1.

If two men or four women can do a work in 33 days and 3 men and 5 women can do the same work in 24 days? How long shall 5 men and 2 women take to do the same work?

Answer»

2 men and 4 women can do a work in 33 days.

66 men and 132 women can do a work in 1 day

Similarly 3 men and 5 women can do a work in 24 days

72 men and 120 women can do a work in 1 day

∴ 66 men + 132 women = 72 men + 120 women 

∴ 1 man = 2 women 5 men + 2 women = 10 women + 2 women =12 women

Let the required number of days be x

2 men + 4 women = 4 women + 4 women = 8 women

8W : 12W = x : 33

12x = 33 × 8

∴ x = 22 days



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