12 men can complete a work ib 6 days and 18 women can complete the same work in 8 days.if they work together in how many days 16 men and 40 women can do thrice the work?
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12 men can complete a work in 6 days
so, 12 mens one day work = 1/6
1 men's 1 day work = 1/(6×12) = 1/72
18 women can complete the same work in 8 days
so, 18 womens 1 day work = 1/8
1 women's 1 day work = 1/(8×18) = 1/144
they work together in how many days 16 men and 40 women can do thrice the work
so, 16 men's and 40 women's 1 day work = 16/72 + 40/144 = (32+40)/144 = 72/144 = 1/2
so, 16 men's and 40 women's whole work = 2 days
so, 16 men's and 40 women's work together to finish thrice the work = 2 × 3 = 6 days
so, 12 mens one day work = 1/6
1 men's 1 day work = 1/(6×12) = 1/72
18 women can complete the same work in 8 days
so, 18 womens 1 day work = 1/8
1 women's 1 day work = 1/(8×18) = 1/144
they work together in how many days 16 men and 40 women can do thrice the work
so, 16 men's and 40 women's 1 day work = 16/72 + 40/144 = (32+40)/144 = 72/144 = 1/2
so, 16 men's and 40 women's whole work = 2 days
so, 16 men's and 40 women's work together to finish thrice the work = 2 × 3 = 6 days
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