इनलेट पाईप्स A आणि B मिळून रिकामी टाकी 1.5 तासात भरू शकतात. आउटलेट पाईप C, जेव्हा एकटे उघडले जाते, तेव्हा पूर्णपणे भरलेली टाकी 4.5 तासांत रिकामी करू शकते. जेव्हा फक्त A आणि C पाईप्स एकत्र उघडले जातात तेव्हा रिकामी टाकी 6 तासात भरली जाते. रिकामी टाकी भरण्यासाठी पाईप बी ने एकटा उघडल्यावर लागणारा वेळ शोधा.

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 3 तास 30 मिनिटे
  2. 3 तास 36 मिनिटे
  3. 3 तास 32 मिनिटे
  4. 3 तास 40 मिनिटे

Answer (Detailed Solution Below)

Option 2 : 3 तास 36 मिनिटे
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गणना:

टाकीचे एकूण काम किंवा क्षमता = LCM चे (1.5, 4.5, 6) = 18 युनिट

(A + B) = 18/1.5 = 12 युनिटची कार्यक्षमता

C = 18/4.5 = - 4 युनिटची कार्यक्षमता

(A - C) = 18/6 = 3 ची कार्यक्षमता

येथे, C = - 4 आणि (A - C) = 3, नंतर A = (4 + 3) = 7 युनिटची कार्यक्षमता

आता, B = (12 - 7) = 5 युनिटची कार्यक्षमता

तर, B संपूर्ण रिकामी टाकी = 18/5 = 3.6 तास = 3 तास 36 मिनिटांत भरू शकतो.

∴ बरोबर उत्तर 3 तास 36 मिनिटे आहे

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