plz answer fastttttt part 2
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Answer: Women = 18 days.
Men = 36 days.
Step-by-step explanation:
First of all the important thing to remember is if the number of workers are more the less time they took to complete the work.
Let the number of women = 'x'
Let the number of men = 'y'
According to the question,
2x+5y= 1/4 ------(1)
3x+6y= 1/3 --------(2)
Solving equation 1:
4(2x+5y) =1
8x+20y = 1 -----(3)
Solving equation 2 :
3(3x+6y)=1
9x+18y= 1 ------(4)
Solving equation 3 and 4 by elimination method:
(8x+20y = 1) * 9
(9x+18y= 1)*8
72x+180y = 9
72x+144y = 8
--------------------
0+ 36y = 1
Or , y = 1/36
Putting the value of y in equation 4 we'll get:
9x+18*1/36 = 1
9x+1/2= 1
9x= 1-1/2
9x = 1/2
x = 1/18
Hence the time taken by women is 18 days while time taken by men is 36 days.
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