Question

2 men & 7 boys can do a piece of work in 4 days the some work is done in 3 days by 4 men & 4 boys . Find the time taken by 1 men & 1 boy

Answer 1

Answer:

Step-by-step explanation:

one men work= 1/x

one boy  work = 1/y

let 1/x = a    and  1/y =b

condition : 1

2/x + 7/y =4

2a + 7b =4

condition :2

4/x+4/y = 3

4a + 4b =3

now

(1) x 2= 4a + 14b =8

(2) x 1 = 4a + 4b = 3

      (-)  -----------------    

               10b = 5

                   b =1/2

                  y = 2days

sub b= 1/2  in (1)

4a + 2 = 3

4a=1

a= 1/4

x= 4 days

the men can complete it in  2 days

the boy can complete it in 4 days

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