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4 pipes fill the tank in 1 hour 30 minutes, then to fill the same tank 12 pipes will take time ______. |
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Answer» :1 HOUR 30 MINUTESEXPLANATION : AnswerIt is GIVEN that 4 PIPES can fill a tank in 30 MINUTES. Let 3 pipes fill the tank in x minutes. Clearly more pipes will fill the tank in LESS time. So it is a case of inverse proportion. If 4pipes can fill the tank in 30 minutes, it takes 4×30 minutes for one pipe to fill the tank. Now 4 is inversely proportional to 30 and the constant of proportionality is k=4×30. Since 3 pipes can fill the tank in x minutes, we must have 3×x=k. Thus we obtainx= 34×30 =120Hence it takes 98 minutes for 3pipes to fill the tank; i.e., 1 hour 38 minutes. |
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