Multiple choice

If 5 men and 3 women can complete a work in 15 days whereas 15 men and 9 women can complete this work in 5 days. Find in how many days 10 men and 6 women can complete this work? यदि 5 पुरुष और 3 महिला किसी कार्य को 15 दिन में समाप्त करते हैं और 15 पुरुष और 9 महिला किसी कार्य को 5 दिन में पूरा करते हैं | ज्ञात कीजिये की 10 पुरुष और 6 महिला इस कार्य को कितने दिन में समाप्त कर सकते हैं ?

  1. 9 days

  2. 7.5 days

  3. 6 days

  4. 12.5 days

  5. None of these इनमे से कोई नहीं

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

Let 1 man's 1 day work = m and 1 woman's 1 day work = w. 5m + 3w = 1/15 work/day. 15m + 9w = 1/5 work/day. Notice that 15m + 9w = 3(5m + 3w), so 3/15 = 1/5, which is consistent. From first equation: 5m + 3w = 1/15. We need 10m + 6w = 2(5m + 3w) = 2 × (1/15) = 2/15 work/day. Time = 1 / (2/15) = 15/2 = 7.5 days.