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10 men and 8 women together can complete a work in 20 days, while 12 men and 14 women can complete the work in 15 days. If Y women complete the whole
Question



10 men and 8 women together can complete a work in 20 days, while 12 men and 14 women can complete the work in 15 days. If Y women complete the whole work in 10 days, then find 2Y.

A.

142

B.

112

C.

132

D.

109

E.

114

Correct option is C

Let the efficiency of a man and a woman be m and w units/day respectively.
ATQ,
(10×m+8×w)×20=(12×m+14×w)×15
40m+32w=36m+42w
40m-36m=42w-32w
4m=10w

Total work = (10×5a+8×2a)×20=1320a units
Value of Y =

Required value 2Y = 132

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