8 males and 6 females can do a piece of work in 5 days. 5 males and 6 females can complete the same work in 7 days. How many days will a female take to do the job, if she works alone? 8 पुरुष और 6 महिलाएं 5 दिनों में एक काम कर सकते हैं। 5 पुरुष और 6 महिला एक ही काम को 7 दिनों में पूरा कर सकते हैं। एक महिला को काम करने में कितने दिन लगेंगे, अगर वह अकेली काम करती है ?

Let one male's one day work = m and one female's one day work = f. From first condition: 8m + 6f = 1/5. From second condition: 5m + 6f = 1/7. Subtract second equation from first: 3m = 1/5 - 1/7 = 2/35, so m = 2/105. Substitute in second equation: 5(2/105) + 6f = 1/7, so 10/105 + 6f = 1/7, giving 6f = 15/105 - 10/105 = 5/105 = 1/21. Therefore f = 1/126. One female alone will take 126 days to complete the work.