Clyde is hiding under a dock and is planning to swim to the boat that is located 107 feet from the shore by swimming in a straight line. There is a spotlight rotating in a counter-clockwise direction that creates a circular FULL illumination zone with a radius of 84 feet on the water. The light fully illuminates part of the area and only partially illuminates the rest. Clyde is located 30 feet from the spotlight and will start swimming once the light just passes the dock. He can swim at the rate of 1.9 miles per hour.

a) How long, in seconds, will it take Clyde to reach the boat if he swims along the straight line? Round to three decimal places. Pay attention to the units!

b) How long, in seconds, will it take Clyde to reach the partial illumination zone if he swims along the straight line? Round to three decimal places. Pay attention to the units!