Question
Download Solution PDFA, B और C एक कार्य को क्रमशः 30 दिनों, 40 दिनों और 50 दिनों में कर सकते हैं। A से प्रारंभ करके, यदि A, B और C एकांतर रूप से कार्य करते हैं, तो कार्य कितने दिनों में समाप्त होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
A एक कार्य को 30 दिनों में कर सकता है।
B एक कार्य को 40 दिनों में कर सकता है।
C एक कार्य को 50 दिनों में कर सकता है।
प्रयुक्त सूत्र:
कुल कार्य = दक्षता × समय
गणना:
| दक्षता | व्यक्ति | समय | कुल कार्य |
| 20 | A | 30 | 600 |
| 15 | B | 40 | |
| 12 | C | 50 |
प्रश्न के अनुसार:
⇒ (20 + 15 + 12) = 47 इकाई = 3 दिन
⇒ 47 × 12 = 564 इकाई = 3 × 12 = 36 दिन
⇒ (564 + 20 + 15) = 599 इकाई = 38 दिन
कुल कार्य = 600 इकाई = 38 + (1/12) = 38\(1\over12\) दिन
∴ सही उत्तर 38\(1\over12\) दिन है।
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