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How many days will 27 men and 18 women take to do it?

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If 17 men and 18 women can do a piece of work in 11 days and 14 men and 13 women can do it in 15 days.
How many days will 27 men and 18 women take to do it?

posted Aug 23, 2018 by Puneet Batra

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1 Answer

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17M + 18W = 1/11 --- (1)
14M + 13W = 1/15 --- (2)
(2)×17/14 - (1)
W = [23/165×31] ---- (3)
Sub (3) in (2)
M = [3/165×31] --- (4)
Using (3) & (4)
27× [3/165×31] + 18×[23/165×31] = 495/(165×31) = 3/31
=> 1 work in [10 + (1/3)] days.

answer Aug 23, 2018 by Tejas Naik



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