Question

6 men and 10 women can finish making pots in 8 days, while the 4 men and 6 women can finish it in 12 days. Find the time taken by the one man alone from that of one woman alone to finish the work.​

Answer 1

Answer:

let the man work be x

& let the woman work be y

6x+10y=8 -(1)

4x+6y=12 -(2)

Step-by-step explanation:

(1)x4=24x+40y=32

(2)x6=24x+36y=72

(-). (-). (-)

4y= -50

y=-40/4

y=-10

sub in (2)

4x+6(-10)=12

4x-60=12

4x=12+60

4x=72

x=72/4

x=18