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Dmitry Kamenetsky
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Plane 1 can make 1 trip around the world by following the below process:

Plane 1 and Plane 2 take off in the same direction at the same time. Once they reach 1/4 of the way around the globe, plane 2 transfers all remaining fuel to plane 1. At this point Plane 1 has a full tank of fullfuel (half globe), Plane 2 flames out, and Plane 3 is still at the airport.

Once that step is met, then:

Plane 1 continues to fly until going half way around the world. With the extra half tank of fuel from plane 2, Plane 1 has a half tank of fuel left. Plane 3 departs the airport at this time, flying in the opposite direction.

Step 3:

Plane 3 and Plane 1 meet up a quarter of the way further around the globe (so plane 1 is 75% of the way around and flying on fumes). At this point Plane 3 transfers all remaining fuel (half a tank, enough for a quarter of the way around the world) to Plane 1.

At this point:

Plane 1 can use the transferred fuel from Plane 3 to complete it's circumnavigation. Plane 2 is flamed out (glided to safety or crashed) to one direction of the airport, Plane 3 is flamed out 25% in the opposite direction.

Plane 1 can make 1 trip around the world by following the below process:

Plane 1 and Plane 2 take off in the same direction at the same time. Once they reach 1/4 of the way around the globe, plane 2 transfers all remaining fuel to plane 1. At this point Plane 1 has a full tank of full (half globe), Plane 2 flames out, and Plane 3 is still at the airport.

Once that step is met, then:

Plane 1 continues to fly until going half way around the world. With the extra half tank of fuel from plane 2, Plane 1 has a half tank of fuel left. Plane 3 departs the airport at this time, flying in the opposite direction.

Step 3:

Plane 3 and Plane 1 meet up a quarter of the way further around the globe (so plane 1 is 75% of the way around and flying on fumes). At this point Plane 3 transfers all remaining fuel (half a tank, enough for a quarter of the way around the world) to Plane 1.

At this point:

Plane 1 can use the transferred fuel from Plane 3 to complete it's circumnavigation. Plane 2 is flamed out (glided to safety or crashed) to one direction of the airport, Plane 3 is flamed out 25% in the opposite direction.

Plane 1 can make 1 trip around the world by following the below process:

Plane 1 and Plane 2 take off in the same direction at the same time. Once they reach 1/4 of the way around the globe, plane 2 transfers all remaining fuel to plane 1. At this point Plane 1 has a full tank of fuel (half globe), Plane 2 flames out, and Plane 3 is still at the airport.

Once that step is met, then:

Plane 1 continues to fly until going half way around the world. With the extra half tank of fuel from plane 2, Plane 1 has a half tank of fuel left. Plane 3 departs the airport at this time, flying in the opposite direction.

Step 3:

Plane 3 and Plane 1 meet up a quarter of the way further around the globe (so plane 1 is 75% of the way around and flying on fumes). At this point Plane 3 transfers all remaining fuel (half a tank, enough for a quarter of the way around the world) to Plane 1.

At this point:

Plane 1 can use the transferred fuel from Plane 3 to complete it's circumnavigation. Plane 2 is flamed out (glided to safety or crashed) to one direction of the airport, Plane 3 is flamed out 25% in the opposite direction.

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Plane 1 can make 1 trip around the world by following the below process:

Plane 1 and Plane 2 take off in the same direction at the same time. Once they reach 1/4 of the way around the globe, plane 2 transfers all remaining fuel to plane 1. At this point Plane 1 has a full tank of full (half globe), Plane 2 flames out, and Plane 3 is still at the airport.

Once that step is met, then:

Plane 1 continues to fly until going half way around the world. With the extra half tank of fuel from plane 2, Plane 1 has a half tank of fuel left. Plane 3 departs the airport at this time, flying in the opposite direction.

Step 3:

Plane 3 and Plane 1 meet up a quarter of the way further around the globe (so plane 1 is 75% of the way around and flying on fumes). At this point Plane 3 transfers all remaining fuel (half a tank, enough for a quarter of the way around the world) to Plane 1.

At this point:

Plane 1 can use the transferred fuel from Plane 3 to complete it's circumnavigation. Plane 2 is flamed out (glided to safety or crashed) to one direction of the airport, Plane 3 is flamed out 25% in the opposite direction.