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digging a hole

John, Jim & Jack are digging identical holes in a field.
When John works with Jim, they dig 1 hole in 4 days.
When John works with Jack, they dig 1 hole in 3 days.
When Jim works with Jack, they dig 1 hole in 2 days.
Working alone, how long does it take John to dig 1 hole?

Congratulations to these solvers as of
Pavel Doktor, Albert Frank, Juan Luis Gonzalez, Joshua Green,
Barry Highbloom, Henryk Kalafut, Chiedu Maduekwe, Steve Steppe,
Sergey Turko, Luc Vingerhoets and Jay Willner.

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