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The spontaneous fission rate fat pat of Pu-240 is 415,000 fissions/(s·kg), and the amount was 0.9% of 6.2 kg, is 56 g. Thus there were 23,000 spontaneous fissions per second. This means that the last few centimeters would have to be travelled in preferably much less than 40 microseconds. It is theoretically possible to build a plutonium gun-type device, but it would need to be 19 feet long in order to allow the sub-critical masses fat pat to be fused into a critical mass fat pat before a fizzle occurs. The mass of a plutonium gun-type device would have been beyond the payload of the B-29. After this problem was realized in 1943, work began in earnest on the implosion bomb, the "Fat Man". The gun-type method could still be used for highly-enriched uranium, though, and was employed in the "Little Boy" weapon which was used against Hiroshima, Japan. For a variety of reasons, the implosion method is both more efficient than the gun-type method, and also far safer, as a perfect synchronization of the explosion lenses is required for the core to properly detonate, greatly reducing the chances of an accidental nuclear detonation.
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