Multiple choice

In a factory, there are equal number of women and children. Women work for 6 hours a day and children for 4 hours a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 6 hours a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are - एक फैक्टरी में बराबर संख्या में औरते और बच्चे हैं। औरते एक दिन में 6 घंटे काम करती हैं और बच्चे 4 घंटे काम करते हैं। त्यौहार के दौरान कार्य 50% तक बढ़ जाता है। सरकारी नियमानुसार बच्चे एक दिन में 6 घंटे से अधिक काम नहीं कर सकते हैं। यदि वे समान रूप से कुशल हैं और अतिरिक्त काम औरतों द्वारा किया जाता है तो औरतों के प्रतिदिन काम करने के अतिरिक्त घंटे हैं-

  1. 5

  2. 3

  3. 4

  4. 9

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

Let there be n women and n children. Normal work per day: women contribute 6n hours, children contribute 4n hours, total = 10n hours. During festival, workload increases by 50%, so new total = 10n × 1.5 = 15n hours. Children can work max 6 hours daily (government rule), so they contribute 6n hours. Women must contribute remaining 15n - 6n = 9n hours. Extra hours per woman = 9n/n = 3 hours. Key insight: the 50% increase is on total work, not individual hours.