Two boats start together and race across a 76-km-wide lake and back. Boat A goes across at 76 km/h and returns at 76 km/h. Boat B goes across at 38 km/h, and its crew, realizing how far behind it is getting, returns at 114 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins.
(a) Which boat wins? (Or is it a tie?) boat A boat B It's a tie. By how much? km
(b) What is the average velocity of the winning boat? km/h
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