Multiple choice

3 men and 7 women can complete a piece of work in 12 days. 7 men and 3 women can complete the same work in 8 days. In how many days can 3 women complete the work alone? 3 पुरुष और 7 महिलायें एक काम को 12 दिनों पूरा कर सकते हैं । 7 पुरुष और 3 महिलायें उसी काम को 8 दिनों में पूरा कर सकते हैं। कितने दिनों में 3 महिलायें अकेले काम को पूरा कर सकती हैं?

  1. 36

  2. 64

  3. 100

  4. 84

  5. 56

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let m and w be work done by 1 man and 1 woman in 1 day. From given data: 12(3m + 7w) = 8(7m + 3w). Solving gives m = 3w. Substituting back: 36(3w) + 84w = 192w = 1 work, so w = 1/192. Three women complete 3/192 = 1/64 work daily, needing 64 days.