Hoses $P$ and $T$ simultaneously fill an empty swimming pool that has a capacity of $45,000$ liters. If the flow

Hoses $P$ and $T$ simultaneously fill an empty swimming pool that has a capacity of $45,000$ liters. If the flow in each hose is independent of the flow in the other hose, how many hours will it take to fill the pool?

1) Hose $P$ alone would take $28$ hours to fill the pool

2) Hose $T$ was turned on an hour later than hose $P$

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