I don't mean to throw a monkey-wrench into the works, but as much as I would love to think that we can take this fictional 'story' and fit it properly into a realistic timeframe, even if loosely based on future technologies... well, here's the problem I have:
Plain and simply, the time it would take for the Sulaco to leave Earth and arrive on LV-426 cannot be realistically done in only 2 weeks
*, and here's why...
(*rounded down from 17 days to keep things simpler for this example)Radio waves are just another form of light waves, so we'll assume that radio transmissions between Earth and LV-426 cannot travel any faster than the speed of light -- 186,000 miles a second, or 669,600,000 (669.6 million) miles an hour.
For scale/distance comparisons, it takes 'light' approximately 5 hours 32 minutes to get from Earth's orbit to Pluto's orbit at the edge of our solar system.
So if it takes approximately 1 week (168 hours) for a radio transmission (light) to reach LV-426, it must be approximately 112,492,800,000 (112.5 billion) miles away from the Earth -- not accounting for orbital differences.
That said, the Sulaco would have to be capable of travelling at 334,800,000 (334.8 million) miles an hour (basically
half the speed of light) to reach LV-426 in only 2 weeks (14 days). That is
incomprehensibly fast for a physical spacecraft of any kind -- not to mention extremely dangerous in space.
However, let's just say for the sake of arguement that we
did happen to devise some sort of 'super' engine that was capable of propelling the Sulaco at a blistering 100 million miles an hour. At that rate, it would still take approximately 1125 hours -- or 6 weeks 4 days and 21 hours to get to LV-426. Keep in mind that these are 'flat-out' speeds, and do not take into consideration acceleration and deceleration times which will increase the overall time elapsed.
Do we know what the speed capabilities are supposed to be for the Sulaco? Does it have a warp drive? Can it convert antimatter? Does it use wormhole technology? Can it fold space?
Just curious.

But I did want to point out that both the Sulaco and Colony were constantly broadcasting back to 'network' so once those broadcasts changed (no more uplink from Dropship 1) or stopped ('it may just be a downed transmitter') then WY would have been alerted so I think taking that into consideration would reduce the time for rescue somewhat.