Stardate 5710.5: When a landing party investigating Scalos begins to vanish one by one, Kirk, Spock and McCoy try to find out what is happening before more of the crew disappears, until Kirk himself is abducted. Kirk finds the cause to be a group of endangered Scalosians who move faster than human sight or hearing can detect. They need to repopulate their species, and find that speeding human males up to Scalosian speed will meet their needs. Kirk must find a way to get a message to Spock and McCoy, who are working on a cure for the mystery "ailment", as well as stirring up fighting among the Scalosians, before they have control of the Enterprise.

The TARDIS is in need of repair, but when the Doctor tries to track down an old friend for help he falls into the hands of Tobias Vaughn, the megalomaniac CEO of International Electromatics. The electronics company is under observation by the United Nations Intelligence Taskforce, a new international military team for fighting threats from beyond the Earth - headed by the Doctor and Jamie's old friend, Alistair Gordon Lethbridge-Stewart (promoted to Brigadier following the Yeti invasion). Vaughn is in league with aliens who intend to invade Earth, but he intends to betray them and seize control; however, as insurance should his plans fail, he wants the Doctor's TARDIS. When Vaughn kidnaps Zoe, the Doctor requests UNIT's help to rescue her - but their interference forces Vaughn to advance the invasion schedule, leaving the Doctor with little time to mount a defense... and the situation becomes more urgent when the Doctor realises that Vaughn's allies are the Cybermen, and that their army is already in place in the sewers beneath London, waiting for the signal to attack.