Question

2 women and 5 men can finish a work in 4 days . 3 women and 6 men can finish the same work in 3 days . Find this tame taken to finish the work by 1 women and 1 men .?

Answer 1

Answer:1 man =2/9 days

1 woman=13/9 days

Step-by-step explanation:

2 women and 5 men can finish a work in 4 days

2x+5y=4----(1)

. 3 women and 6 men can finish the same work in 3 days

3x+6y=3-----(2)

simplifying equation 2

(3x+6y=3)/3

x+2y=1

x=1-2y-------(3)

inputing equation 3 in equation 1

2x+5y=4

2(1-2y)+5y=4

2-4y+5y=4

2-4=5y+4y

(-2=9y)/9

y=-2/9, i.e 2/9 days (there are no negetive values for days)

deriving the value of x

2x+5y=4----(1)

y=2/9

2x +5(2/9)=4

2x+10/9=4

2x=4-10/9

(2x=26/9)/2

x=13/9 days

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