Question

2 men and 5 women complete a task in 4 days. 4 men and 4 women do the same work in 3 days. If a man or a woman completes the work in how many days.​

Answer 1

Step-by-step explanation:

let the work done by 1 man in 1 day be 1/x

let the work done by 1 woman in 1 day be 1/y

A.T.Q

2/x+5/y=1/4

4/x+4/y=1/3

let 1/x and 1/y be a and b respectively

2a+5b=1/4

8a+20b=1 -------(1)

4a+4b=1/3

12a+12b=1------(2)

by substitution method

8a=1-20b

a=1-20b/8-----3

put (3) in (2)

12(1-20b/8)+12b=1

after solving

b=1/36

y=36days ; put b in 3

a=1-20(1/36)/8

a=1/18

x=18days