The figure shows two 22.7 kg ice luges that are at rest and placed a short distance apart, one directly behind the other. A 3.63 kg tomcat initially standing on one luge jumps to the other one and then back to the first. Both jumps are made at a speed of 3.05 m/s relative to the ice. What are the final speeds of
(a) the first luge and
(b) the second luge?