6 men and 10 women can finish making in 8 days while 4 men and 6 women can finish it in 12days . find the time taken by one man alone from that of one women to finish the work
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Answer:
Given:
6 men and 10 women can finish making pots in 8 days
4 men and 6 women can finish it in 12 days
To find:
Time taken by the one man alone from that of one woman alone to finish the work
Solution:
Let the work done by 1 man in 1 day = 1/x
Let the work done by 1 woman in 1 day = 1/y
According to the question:
6 men and 10 women can finish making pots in 8 days
So,
6/x + 10/y = 1/8 -------------(I)
4 men and 6 women can finish it in 12 days.
So,
4/x + 6/y = 1/12 --------(II)
Take 1/x = M and 1/y = W
On solving the equation (I) and (II) we get:
M=1/48 , W= 0
So,
x = 48
Then time taken by the one man alone from that of one woman alone to finish the work is 48 days
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