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Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m?1). 52). 23). 34). 4 |
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Answer» Let the CAPACITY of the tank = 72 litres Efficiency of pipe P = 72/24 = 3 litres/hour Efficiency of pipe Q = 72/18 = 4 litres/hour According to the question, Total time in which tank has filled = 15 hours Let the pipe P was closed at after n hours According to the question ⇒ 3 × (n) + 4 × 15 = 72 ⇒ 3n + 60 = 72 ⇒ 3n = 12 ⇒ n = 4 So, 4 hours after 11:00 am. that MEANS 3:00 PM ∴ the tap P should be closed at 3 : 00 pm |
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