Final answer:
In League of Legends, the red and blue buffs last for 120 seconds but can be extended to 144 seconds with the 'Runic Affinity' from the 'Inspiration' rune path.
Step-by-step explanation:
The duration of both the red and blue buff in the game League of Legends is initially 120 seconds (2 minutes). However, the duration can be extended by 20% to 144 seconds (2 minutes and 24 seconds) with the purchase of the in-game item called 'Runic Affinity' from the 'Inspiration' rune path.