Why do planes fly at high altitude even across the oceans, when flying at lower altitudes require covering a shorter distance?

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Why do planes fly at high altitude even across the oceans, when flying at lower altitudes require covering a shorter distance?

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Flying at higher altitudes is more efficient because the air is less dense, meaning there is less drag trying to slow the plane down.

Imagine this, what is easier? Running through water, or just running on land? Flying at lower altitude is like running through water, there is more resistance 

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