Question

Two men and six boys can cut a field in 3 hours. if the men work at 3/2 times than the boys. How many men are required to cut the field in 2 hours​

Answer 1

Answer:

hi how r u I am new brainly user

Answer 2

Answer:

let a man's rate be x fields/h

let a boy's rate be y fields/h

so 2/x + 6/y = 1/3

times 3xy

6y + 18x = xy

6y - xy = -18x

y = -18x/(6-x) = 18x/(x-6) , x > 6

also given: x = (2/3)y

then x = (2/3)(18x)/(x-6)

x(x-6) = 12x

x^2 - 18x =

x(x-18) = 0

x = 18 (or x = 0, which we reject)

then 18 = (2/3)y

y = 27

Man's rate = 1/18 fields per hour

boy's rate = 1/27 fields per hour

So one man can cut the field in 18 hrs

so 9 men can cut the field in 2hrs.