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85 lines
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HTML
85 lines
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<h1 class="puzTitle">Pool and Taps Puzzle - Solution</h1><div class="puzPuzzle"><h2>The Puzzle:</h2><div class="puzText"><div class="puzThumb"><a href="measuring-puzzles-index.html"><img src="images/faucet.svg" alt="Pool and Taps" style="border-style: none" /></a></div>A pool has four faucets. <br />
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The first faucet takes two days to fill the pool, the second faucet three days, the third four days and the last one only 6 hours.<br />
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How long will it take to fill the pool using all 4 faucets at once?</div></div><div class="puzSep"></div><div class="puzSoln"><h2>Our Solution:</h3><div class="puzSolnText">First, work out how much of the pool gets filled by each faucet in one hour.<br />
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The first faucet takes 48 hours to fill the pool, so in one hour it fills 1/48 of the pool<br />
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The second faucet 1/72<br />
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The third faucet 1/96<br />
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And the fourth faucet fills 1/6 of the pool<br />
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We need to add all those fractions together:<br />
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1/48 + 1/72 + 1/96 + 1/6 = 6/288 + 4/288 + 3/288 + 48/288 = 61/288<br />
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So, in one hour the pool will be 61/288 full<br />
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And it will be completely full in 288/61 hours = 4 hours 43 minutes and 17 seconds.</div></div><div class="puzSolnFtr">See this puzzle <a href="pool-and-taps.html">without solution</a><br />Discuss this puzzle at the <a href="http://www.mathisfunforum.com/index.php">Math is Fun Forum</a></div><div class="related"><a href="measuring-puzzles-index.html">Measuring Puzzles</a><a href="index.html">Puzzles Index</a></div><!-- #EndEditable --></div>
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