Nine minute fuse

Here is a puzzle I came up with after getting the wrong solution to one of Richard Wiseman's Friday puzzles.

Puzzle

You have all but finished setting up your very well timed fireworks display. All you have left is one kamuro shell for which you need to set a nine minute fuse. Unfortunately, all you have left are a few seven minute fuses and a few four minute fuses. Due to shoddy construction, these fuses do not burn at a constant rate - in fact, even two fuses of the same type might burn at different rates over different parts of the fuse. Is it possible to connect some fuses together (using a fuse glue which does not change burning time, of course) to get a fuse which will burn in exactly nine minutes? If so, how?

See also

• Fuses
• Egg timers
• Die Hard III

Referneces

Friday puzzle on Richard Wiseman's blog