Question

2 women and 5 men can together finish an embroidery work in 4 days . While 3 women and 6 men can finish it in 3 days . Find the time taken by 1 women alone to finish the work. And also that taken by 1 man alone.

Answer 1

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Answer 2

Answer:

Number of days taken by a woman = 18

Number of days taken by a man = 36

Step-by-step explanation:

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

$= 4(2/x + 5/y) = 1$

$= 2/x + 5/y = 1/4$

$= 3(3/x + 6/y) = 1$

$= 3/x + 6/y = 1/3$

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