The ratio of the efficiencies of A, B and C is 2 : 5 : 3. Working together. they can complete a work in 27 days. B and C together can completes $$\frac{4}{9}$$the part of that work in:
Total 1 day work = 2d + 5d + 3d = 10d
Work completed in 27 days
=> total Work = 27Â $$\times$$ 10d = 270d
4/9th part of work = (4/9) $$\times$$ 270d = 120d
B & C's 1 day work = 5d + 3d = 8d
B and C together can complete 4/9th part of that work in = 120d $$\div$$8d = 15
So , the answer would be option b)15.
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