SOLUTION: 2 men and 6 boys can build a wall in 4 days, 4 men and 4 boys can do the same job in 3 days. if there just one man in how many days he will be able to build that wall

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Question 623368: 2 men and 6 boys can build a wall in 4 days, 4 men and 4 boys can do the same job in 3 days. if there just one man in how many days he will be able to build that wall
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi, ·
2 men and 6 boys can build a wall in 4 days, 4 men and 4 boys can do the same job in 3 days.
Let x an y represent one day's work for men and boys respectively
Question states***
2x + 6y = 1/4
4x + 4y = 1/3
-4x -12y =-1/2 ||multiplying 1st EQ thru by -2 to eliminate the x variable
4x + 4y = 1/3
-8y = -1/6
y = 1/48 and x = 1/16 , ,
A man can do 1/16 of the work alone per day.
Would take a man days to build the wall alone.
and
CHECKING our Answer***

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