8 men and 12 women can build a wall in 10 days. 6 men and 8 women can build the same wall in 14 days. How many more days will 1 woman take to build that wall alone compared to the number of days 1 man will take to build same wall alone?
140 days
The correct answer is Option 4 i.e. 140 days.
Let 1 man's 1-day work = M, 1 woman's 1-day work = W
⇒ 8M + 12W = 1/10....(1)
⇒ 6M + 8W = 1/14.......(2)
Multiply equation 1 by 3 and equation 2 by 4 and subtract equation 2 from equation 1
⇒ 24M - 24M + 36W - 32W = 3/10 - 2/7
⇒ 4W = 1/70
⇒ W = 1/280
then, M = 1/140
So, time taken by 1 man = 140 days
Time taken by 1 women = 280
Difference = 280 - 140 = 140 days
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