Multiple choice

The work done by 4 men in 12 days is equal to the work done by 6 women in 10 days and is also equal to the work done by 8 children in 9 days. A man, a woman and a child working together take 10 days to complete a particular job. In how many days will the same job be completed by 2 women and 5 children working together? 12 दिनों में 4 पुरुषों द्वारा किया गया कार्य 10 दिनों में 6 महिलाओं द्वारा किए गए कार्य के बराबर है और 9 दिनों में 8 बच्चों द्वारा किए गए कार्य के बराबर है। एक आदमी, एक औरत और एक बच्चा साथ को एक विशेष काम पूरा करने में 10 दिन लगते हैं। 2 महिलाओं और 5 बच्चों द्वारा एक साथ काम करने पर एक ही काम कितने दिनों में पूरा होगा?

  1. 8

  2. 6

  3. 5

  4. 10

  5. None of these इनमे से कोई नहीं

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

Work equations: 4M×12 = 6W×10 → 48M = 60W → M = 5W/4. 4M×12 = 8C×9 → 48M = 72C → M = 3C/2. Equating: 5W/4 = 3C/2 → W = 6C/5. Given M+W+C = 10 days → 1/10 work per day combined. Substituting in terms of C: (3C/2) + (6C/5) + C = (15C+12C+10C)/10 = 37C/10 per 10 days = 37C/100 per day. So 37C/100 = 1/10 → C = 10/37. We need 2W+5C: 2×(6C/5) + 5C = 12C/5 + 5C = 37C/5 = 37/5 × 10/37 = 2. So 2W+5C do 2/10 work per day = 1/5 job per day. Time = 5 days. Option C is correct.