Question
Download Solution PDFएक आगम नळ एक रिकामी टाकी 120 तासांत भरू शकतो तर निर्गम नळ 54 तासांत पूर्णपणे भरलेली टाकी रिकामी करतो. टाकी रिकामी असताना 8 आगम नळ आणि 3 निर्गम नळ एकाच वेळी उघडल्यास टाकी किती तासांत पूर्ण भरेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFएक आगम नळ एक रिकामी टाकी 120 तासांत भरू शकतो
वापरलेले सूत्र:-
टाकीची एकूण क्षमता (कार्य) = कार्यक्षमता × वेळ
गणना:-
| वेळ | कार्यक्षमता | एकूण काम | |
| आगम नळ | 120 | 9 | 1080 |
| निर्गम नळ | 54 | 20 |
प्रश्नानुसार,
8 आगम नळ आणि 3 निर्गम नळ एकाच वेळी सुरू केले जातात
⇒ 1 तासात केलेले काम = 8 × 9 - 20 × 3
⇒ 72 - 60 = 12
म्हणून,
वेळ = 1080/12 = 90
∴ अपेक्षित उत्तर 90 आहे.
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