8 males and 6 females can do a piece of work in 5 days, 5 males and 6 females can complete the same work in 7 days . How many days will a female take to do the job, if she works alone?

A 135 days
B 142 days
C 110 days
D 126 days

Correct Answer: 126 days

(8M + 6F) × 5 = (5M + 6F) × 7 = > 40M + 30F = 35M + 42F = > 5M = 12F Now, (5M + 6F) = 12F + 6F = 18F 18F can do in = 7 days 1F can do in = 18x 7 = 126 days Ans. 
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