Math, asked by khoshya2, 11 months ago

plz answer fastttttt part 2

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Answered by hipsterizedoll410
3

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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