Question

3 boys and 4 men can finish a piece of work n 7 days , while 4 boys an 6 men can finish the same work in 5days Find the time taken by 1 man alone and by 1 boy alone.

Answer 1

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

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1m =1/24

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

3* 1/24 + 4b =8

1b = 0

Step-by-step explanation:

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

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