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Commentaire de Reski

The 20% reduction happens when the mission is started, not when you're deciding who to send. This is important b/c your hero's equipment such as Fiole inépuisable is based on the time before Forme de voyage reduces the mission time.

Examples:
10 hour mission with no equipment to reduce the time shows as 10 hours on the interface and the Legion Companion app, but when you actually confirm the mission and look at the in progress mission, it shows 8 hours.
8 hour mission with no equipment to reduce the time still gets the benefit from items such as Fiole inépuisable, but when you start the mission it shows the progress as 6 hours 24 minutes (0.8 * 8 hours).

This is in contrast to items such as Carotte et bâton that reduce the time before the mission is sent which can affect bonuses like Fiole inépuisable.

8 hour mission with Carotte et bâton means the starting duration is 7 hours 12 minutes (0.9 * 8 hours), so the bonus from Fiole inépuisable would not apply.

After further in-game research, it actually does affect items such as Fiole inépuisable negatively. Despite the UI showing the time before the 20% comes off, the bonuses from items is based on the time after the 20% is taken off. In the case above for an 8 hour mission with no time reducing equipment, you actually lose bonuses from items such as Fiole inépuisable because the mission time is less than 8 hours even though you won't see that until you start the mission.

I also checked if items such as Carotte et bâton stack additively (100% - (20% + 10%) = 100% - 30% = 70%) or multiplicatively (100% x (0.8 x 0.9) = 100% x (0.72) = 72%) and it works multiplicatively. So using this case for a 10 hour mission, it would take 7.2 hours (10 x 72%), so 7 hours and 12 minutes.

This makes sense since if it worked additively and you had enough items like Carotte et bâton you could get missions to instantly complete if you those items totaled 100%.

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