Until the End of Time is a R&B song written by Justin Timberlake , Tim Mosley , and Nate Hills and is the first single from the deluxe edition of his studio album FutureSex\/LoveSounds . `` Until the End of Time '' is an R&B \/ pop song performed by Justin Timberlake and BeyoncÃ Knowles , written by Justin Timberlake , Tim Mosley , and Nate Hills .