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1). 14 hours2). 42 hours3). 35 hours4). 70 hours |
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Answer» Let PIPES P and Q take p and q HOURS respectively to fill the cistern. From the question, p = 2Q----(1) They fill TOGETHER the tank in 28 hours. $(\begin{ARRAY}{l} \therefore \frac{1}{p} + \frac{1}{q} = \frac{1}{{28}}\\ \Rightarrow \frac{1}{{2q}} + \frac{1}{q} = \frac{1}{{28}}\\ \Rightarrow \frac{{3}}{{2{q}}} = \frac{1}{{28}} \end{array})$ ⇒ 2q = 84 ∴ q = 42 hours |
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