Answer: The Statue of Liberty cruise lasts between 50 minutes and 1 hour and 30 minutes, depending on the type of cruise and the company you choose. The shortest cruise that passes near the Statue of Liberty is the Express Cruise (the next one) operated by Circle Line, which lasts 50 minutes. 

Note that this cruise does not allow disembarkation on Liberty Island and only passes by the statue and stops near it for a few minutes. Other companies such as Big City Tourism and New York Water Taxi also offer similar cruises that last about 1 hour to 1 hour and 30 minutes.

If you are also interested in getting off at Liberty Island and walking around the area or going up the Statue, you need to take the ferry to the Statue of Liberty.