A water-skier is moving at a speed of 13.1 m/s. When she skis in the same direction as a traveling wave, she springs upward every 6 s because of the wave crests. When she skis in the direction opposite to the direction in which the wave moves, she springs upward every 3.8 s in response to the crests. The speed of the skier is greater than the speed of the wave.
(a) Determine the speed of the wave.
(b) Determine the wavelength of the wave.