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Three taps A, B and C can fill a tank in 20, 45 and 36 hours respectively. If all the taps are opened together, then in how many hours will the tank be filled? 1). 62). 103). 124). 15 |
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Answer» A can fill a tank in = 20 HOURS ∴ In 1 hour A can fill = 1/20 B can fill a tank in = 45 hours ∴ In 1 hour B can fill = 1/45 C can fill a tank in = 36 hours ∴ In 1 hour C can fill = 1/36 Let, they together can fill the tank in = x hours According to PROBLEM, $( \Rightarrow \frac{x}{{20}} + \frac{x}{{45}} + \frac{x}{{36}} = 1)$ $( \Rightarrow \frac{{9x + 4x + 5x}}{{180}} = 1)$ ⇒ 18x = 180 ⇒ x = 10 ∴ If all the taps are OPENED together the tank will be FILLED in = 10 hours |
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