Miriam works 5 hours per day, so in 6 days, she works 5 * 6 = <<5*6=30>>30 hours.
Miriam can take care of 60 / 5 = <<60/5=12>>12 flowers per hour.
In 6 days of work, Miriam can take care of 30 * 12 = <<30*12=360>>360 flowers.
#### 360