Luke takes a 70-minute bus to work every day. His coworker Paula takes 3/5 of this time to arrive by bus at work. If Luke takes a bike ride back home every day, 5 times slower than the bus, and Paula takes the bus back home, calculate the total amount of time, in minutes, they take traveling from home to work and back each day.
When Luke takes the 70-minute bus to work, his coworker Paula takes 3/5*70 = <<70*3/5=42>>42 minutes to travel from home to work.
From work to home, Paula spends the same amount of time she spent going to work, giving a total of 42+42 = <<42+42=84>>84 minutes in a day traveling.
From work to home, while riding the bike, Luke spends 5*70 = <<5*70=350>>350 minutes on the road.
The total time Luke takes to travel from home to work and back is 350+70 = <<350+70=420>>420 minutes.
Together, Luke and Paula takes 420+84 = <<420+84=504>>504 minutes
#### 504