The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?
Let's just figure one labyrinth, first
This is easy
1/50 + 1/30 =
(30 + 50) / (50 * 30) = 80 /1500 = 8 /150 = 4 / 75
Invert this fraction and it will tell you how many minutes it takes for both working together = 75 / 4 min
So
12 (75) / 4 = 3 * 75 = 225 minutes
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