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

 

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

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