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<h1 class="puzTitle">Planes Around the World Puzzle - Solution</h1>
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<div class="puzPuzzle"><h2>The Puzzle:</h2>
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<div class="puzText">
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<div class="puzThumb"><img src="images/earth.svg" alt="Planes Around the World" style="border-style: none" /></div>
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You intend to fly non-stop around the world. <br />
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<br />
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But a full tank only takes you halfway around the world.<br />
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<br />
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However you can arrange many planes exactly like yours to assist with refueling.<br />
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<br />
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You can only use the starting airport, and refueling can be done midair.<br />
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<br />
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Ignoring refueling and turn-around times, what is the minimum number of planes you will need?</div>
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<div class="puzSoln"><h2>Our Solution:</h3>
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<div class="puzSolnText">The minimum is three. <br />
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<br />
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Start three planes from the airport (yours and two others). After going 1/8 around, one plane refuels both yours and the other plane with 1/4 of a tank each, leaving it with 1/4 of a tank which is precisely enough to take it home. <br />
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<br />
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Two planes continue with a full tank again. <br />
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<br />
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Reaching 1/4 around the other plane transfers 1/4 tank of fuel to yours, leaving it with 1/2 tank, to take it precisely home again. <br />
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<br />
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Your plane is now full at 1/4 and can go to 3/4 with that fuel. <br />
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<br />
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The first returning plane refuels and start off the other way meeting your plane at its 3/4 position, where your plane is empty and the meeting one is half empty. Sharing their fuel they have both 1/4 tank left which can take them to the 7/8 position. <br />
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<br />
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The remaining plane has arrived there in the meanwhile with 3/4 tank giving 1/4 to the other now empty planes. <br />
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<br />
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All three planes have now 1/4 and can return home.<br />
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<br />
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What a trip!</div></div>
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<div class="puzSolnFtr">Try more <a href="measuring-puzzles-index.html">Measuring Puzzles</a><br>See this puzzle <a href="planes-around-the-world.html">without solution</a><br></div>
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