10 men can finish a piece of work in 10 days, whereas it takes 12 women to…
2015
10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete it?
- A.
2
- B.
4
- C.
5
- D.
11
- E.
Question not attempted
Attempted by 10 students.
Show answer & explanation
Correct answer: C
Step 1: Calculate total work in man-days. 10 men take 10 days → Total work = 10 × 10 = 100 man-days.
Step 2: Convert work to woman-days. 12 women take 10 days → Total work = 12 × 10 = 120 woman-days.
Step 3: Find work rate equivalence. 100 man-days = 120 woman-days → 1 man = 1.2 women.
Step 4: Convert 15 men and 6 women to equivalent women. 15 men = 15 × 1.2 = 18 women. Total = 18 + 6 = 24 women.
Step 5: Total work = 120 woman-days. Time = 120 / 24 = 5 days.
हिन्दी उत्तर:
चरण 1: कुल कार्य की गणना करें। 10 पुरुष 10 दिन में काम करते हैं → कुल कार्य = 10 × 10 = 100 पुरुष-दिन।
चरण 2: कार्य को महिला-दिन में बदलें। 12 महिलाएँ 10 दिन में काम करती हैं → कुल कार्य = 12 × 10 = 120 महिला-दिन।
चरण 3: कार्य दर की तुल्यता ज्ञात करें। 100 पुरुष-दिन = 120 महिला-दिन → 1 पुरुष = 1.2 महिलाएँ।
चरण 4: 15 पुरुष और 6 महिलाओं को तुल्य महिलाओं में बदलें। 15 पुरुष = 15 × 1.2 = 18 महिलाएँ। कुल = 18 + 6 = 24 महिलाएँ।
चरण 5: कुल कार्य = 120 महिला-दिन। समय = 120 / 24 = 5 दिन।