The villain, Chris, in an old black and white movie is planning on blowing up the old silver mine the following morning with his arch-rival Slavy inside. Historically, his method has been to light the dynamite with an hour long fuse, and get out of town.
Lately, he’s noticed that a few minutes before he’s about to do his dastardly deed, our stalwart hero Cam arrives and saves the day.
Chris has developed a new plan. This time he’s going to use a forty-five minute fuse. With a little luck, the dynamite will dispose of both Slavy and Cam.
Unfortunately, Chris sent his comic relief henchman, Forsythe to buy his fuses. Forsythe came back with a half-dozen of the usual hour-long fuses.
The obvious solution would be to take three-quarters of one of the fuses, but Chris has observed that while the hour long fuses will always burn up in exactly one hour, their rate of burn isn’t constant. In fact, it isn’t uncommon for him to light a fuse and have it burn like crazy for the first fifty minutes, and then slow to a crawl during the last ten minutes. Which, oddly enough, is when Cam rides in to save the day.
Another possibility would be to light one fuse, wait fifteen minutes, then extinguish it. If only Chris had a watch, that would work.
How can Contemptible Chris carry out his dastardly deed – can you help him sort out a 45min fuse?