Question

2 women and 5 men working together finish a task in 3 days , while 3 women and 6 men working together finish that task in 3 days . find out the number of days in which one woman alone and one man alone can finish that task ??​

Answer 1

Answer:

Step-by-step explanation:

Solution :-

Let the number of days taken by a woman and a man be x and y.                  

             

According to the question,                  

⇒ 4(2/x + 5/y) = 1                  

⇒ 2/x + 5/y = 1/4                  

⇒ 3(3/x + 6/y) = 1                  

⇒ 3/x + 6/y = 1/3                  

Putting 1/x = p and 1/y = q in these equations, we get                  

⇒ 2p + 5q = 1/4                  

By cross multiplication, we get                  

⇒ p/-20 - (-18) = q/-9 - (-18) = 1/144b- 180                  

⇒ p/-2 = q/-1 = 1/-36                  

⇒ p/-2 = - 1/36 and q/-1 = 1/-36                  

⇒ p = 1/18 and q = 1/36                  

⇒ p = 1/x = 1/18 and q = 1/y = 1/36                  

⇒ x = 18 and y = 36

Number of days taken by a woman = 18

Number of days taken by a man = 36