GATE Mechanical Engineering (ME) 2015 Shift 1 Solved Paper

Consider an ant crawling along the curve (x - 2)² + y² = 4 where x and y are in meters. The ant starts at the point (4, 0) and moves counter-clockwise with a speed of 1.57 meters per second. The time taken by the ant to reach the point (2, 2) is (in seconds) _______.