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Answers
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