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

Answer:

Number of days taken by a woman = 18

Number of days taken by a man = 36

Explanation:

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

Answer 2

Answer:

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Explanation:

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On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.