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Adam, Beth, and Carrie enjoy building puzzles. Adam can build $8$ puzzles an hour, Beth can build $6$ an hour, and Carrie can build $5$ an hour. Assume that if the three friends work simultaneously on the same puzzle, there is no loss in production speed.

To the nearest minute, how long will it take Adam, Beth, and Carrie working together to build $1$ puzzle?

A

$1$ minute

B

$2$ minutes

C

$3$ minutes

D

$4$ minutes

E

$5$ minutes

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