An airline pilot begins a trip to Duluth from an airport located \(1500 \mathrm{~km}\) south of Duluth. Her air speed is \(260 \mathrm{~m} / \mathrm{s}\), but a wind blows from west to east at \(40 \mathrm{~m} / \mathrm{s}\) that takes her off course if she flies directly north. She has the choice of heading slightly westward so that the wind causes her to end up at Duluth or heading due north until she reaches a position directly east of Duluth and then heading west into the wind to Duluth. Which route takes a shorter time interval?