Question

2 men and 5 boys can do a piece of work in 4 days while 4 men and 4 boys can do it in 3 days how long would it take one man or one boy to do it

Answer 1

let time taken by 1 men per day= 1/x

let time taken by 1 boy per day = 1/y

according to question

2/x +5/y = 1/4

and also

4/x+ 4/y = 1/3

after solving 1st equation we get

let 1/x = p and 1/y = q

there fore 2p+5q = 1/4

8p+20q= 1 ..........(1)

2nd eq.

same with it

4p+4q =1/3

12p+12q = 1..........(2)

by substitution method

in 1st eq.

p=1-20q/8....(3)

put eq 3 in eq 2

12(1-20q/8)+4q =1

it gives

(12-240q+32q)=4

-208q = -8

q = 8/208

q= 1/16

put q = 1/16 in eq 3

p=(1-20×1/16)/8

then after solving it u will get value of p

then put value of p and q in 1/x and 1/y to get x and y

please mark brainliest