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6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.

 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.

A. 4 days

B. 6 days

C. 2 days

D. 8 days



 Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b 

 Work done by 6 men and 8 women in 1 day = 1/10 

 => 6m + 8b = 1/10

 => 60m + 80b = 1 --- (1)

 Work done by 26 men and 48 women in 1 day = 1/2 

 => 26m + 48b = ½

 => 52m + 96b = 1--- (2)

 Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200

 Work done by 15 men and 20 women in 1 day 

 = 15/100 + 20/200 =1/4

 => Time taken by 15 men and 20 women in doing the work = 4 days
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