Question

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can do 2 men and 1 boy the work ? 

(a) 8 days 

(b) 7 days 

(c) 25/2 days 

(d) 2 days

Answer 1

Correct option (c) 25/2 days

Explanation:

According to question, 

(2 men + 3 boys)× 10 days 

= ( 3 men +2 boys)×8 days 

20 men + 30 boys = 24 men + 16 boys 

 2 men = 7 boys 

2 men + 1 boy = 7 boys + 1 boys = 8 boys 

From i^st line :

2 men + 3 boys ⇒ 7 boys + 3 boys ⇒ 10 boys given

10 boys can do a piece of work in 10 days 

1 boys can do a piece of work in 10 × 10 

8 boys can do a piece of work in