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Real-Life Math

Film editors are artists in their own rights. They do more than just chop up film and make scenes fit together. But sometimes, they have other considerations on their minds. Time, for example.

You're a film editor working on a big Hollywood production of a new comedy. You and the director work closely on a rough edit of the film. But when you're done, the movie is 133 minutes long.

The studio says no way. See, there is an unwritten rule that comedies can't go over 120 minutes -- and the studio would love it if you could get it down to 110 minutes. Audiences get fidgety after two full hours. Plus, any longer than that and the number of showings a single theater can host in a day gets reduced. So it's back to the cutting room.

The director is frustrated. He loves the movie as is and he refuses to cut any scenes out. He asks you to take a cold, technical look at cutting. You look at a breakdown of the scene structure. You notice that of the 37 scenes, 3 are longer than 10 minutes in length. You decide to focus on those long scenes.

You put the film on a counter and notice that the 3 long scenes are all 70,000 frames long. Since film runs at 24 frames per second, you can begin to size up how much can be taken out of these scenes.

How long are these scenes and how many frames need to be cut in order to make the film 13 minutes shorter?