Two boats start together and race across a 62-km-wide lake and back. Boat A goes across at 62 km/h and returns at 62 km/h. Boat B goes across at 31km/h, and its crew, realizing how far behind it is getting, returns at 93 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins. (a) Which boat wins and by how much? (Or is it a tie?) (b) What is the average velocity of the winning boat?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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Two boats start together and race across a 62-km-wide lake and back. Boat A goes across at 62 km/h and returns at 62 km/h. Boat B goes across at 31km/h, and its crew, realizing how far behind it is getting, returns at 93 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins.

(a) Which boat wins and by how much? (Or is it a tie?)

(b) What is the average velocity of the winning boat?

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