Question

3 men and 4 boys do a piece of work in 8days, while 4 men and 4 boys finish it in 6days. 2 men and 4 boys will finish it in:
9 b) 10 c) 12 d) 14​

Answer 1

Answer:

IN 12 DAYS

Step-by-step explanation:

3 men and 4 boys do a work in 8 days,while 4 men and 4 boys do the same work in 6 days.In how many days will 2 men and 4 boys finish the

14 Answer

3 men and 4 boys can finish a piece of work in 8 days . That means , in one day they can finish 1/8 work .

Equation 1. 3m + 4b = 1/8

4 men and 4 boys can finish a piece of work in 6 days . That means , in one day they can finish 1/6 work .

Equation 2. 4m + 4b = 1/6

In order to get values of m and b , lets subtract Equation 1 from equation 2:

4m + 4b = 1/6

3m + 4b = 1/8

--------------------------

1m =1/24

Using value of m , we can calculate value of b :

3* 1/24 + 4b =8

1b = 0

Using these values : 2m + 4b --> 2*1/24 + 4*0 = 12

2 men and 4 boys can finish the same work in 12 days .