Final answer:
President Kennedy and Premier Khrushchev averted the disaster of nuclear war during the Cuban Missile Crisis by mutually agreeing to remove missiles from Cuba and Turkey, respectively.
Step-by-step explanation:
During the Cuban Missile Crisis, President John F. Kennedy and Premier Nikita Khrushchev managed to avert the disaster of nuclear war. The United States discovered Soviet missiles in Cuba and implemented a naval blockade to prevent further military supplies from reaching Cuba. As tensions reached a peak, the possibility of a nuclear war loomed over the world. The crisis was averted when Khrushchev agreed to remove the missiles from Cuba in exchange for Kennedy's pledge not to invade the island and to secretly remove U.S. missiles from Turkey. This decision to de-escalate the confrontation prevented a potential catastrophe, with both leaders acting before they lost control of the situation, which could have resulted in widespread destruction due to nuclear weapons.