Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then Machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken Machine X operating alone to fill the entire production lot?
(1)Machine X produced 30 bottles per minute.
(2)Machine X produced twice as many bottles in 4 hours as Machine Y produced in 3 hours.