. A river moves at a pace of 1,000 feet per hour, and upon that river floats a gondola going against the river's flow. At exactly noon, a passenger on the gondola dropped his hat into the river. The gondola turns around 180 degrees exactly 100 feet downstream from the hat once the passenger realizes it is missing. The gondola moves at a speed of 20 feet per minute in still water.

How many minutes will it take for the gondola to catch up with the hat?