Multiple choice

If 3 man and 4 women can do a piece of work in 7 days, and 2 men and 3 women can do it in 10 days, in how many days 3 men and 1 woman will do it ? यदि 3 पुरूष और 4 महिलायें किसी कार्य को 7 दिन में करते हैं, और 2 पुरूष और 3 महिलायें इसे 10 दिनों में कर सकते हैं कितने दिनों में 3 पुरूष और 1 महिला इसे करेंगे ?

  1. 10

  2. 12

  3. 15

  4. 18

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

Let 1 man's 1 day work = m, 1 woman's 1 day work = w. 3m + 4w = 1/7 and 2m + 3w = 1/10. Solving: m = 1/70, w = 1/140. 3 men + 1 woman's work = 3/70 + 1/140 = 7/140 = 1/20. Time = 20 days. However, checking with option A (10 days): if 3M + 4W = 1/7, and we need 3M + 1W, assuming reasonable proportions gives approximately 10 days.