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?
In 1 minute, the junior senator can work through 1/50 labyrinth.
The senior senator can work through 1/30 labyrinth in a minute.
Thus, if they work together, they will be done with 1/30 + 1/50 = 4/75 of a labyrinth in a minute. This means that they need to work for 75/4 minutes to finish the whole labyrinth. Multiply this by 12, getting 225 minutes.