16 men or 20 women completes a work in 24 days. 8 men and 30 women will complete the same work in how many days? 16 पुरुष या 20 महिलाएं एक कार्य 24 दिनों में पूरा करते हैं । 8 पुरुष और 30 महिलाएं एक साथ कार्य करते हुए कार्य को कितने दिनों में पूरा करेंगे?

16 men complete work in 24 days, so 16 men's 1 day work = 1/24. 1 man's 1 day work = 1/(16×24) = 1/384. Similarly, 20 women complete in 24 days, so 1 woman's 1 day work = 1/(20×24) = 1/480. 8 men + 30 women's combined 1 day work = 8/384 + 30/480 = 1/48 + 1/16 = 1/48 + 3/48 = 4/48 = 1/12. Therefore they complete the work in 12 days, which is option E.