Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Review - Page 328: 31

Answer

21.1 mph

Work Step by Step

340 miles one way 14 hours downriver 19 hours upriver $340 = (x+y)*14$ $340 = (x-y)*19$ $340 = (x+y)*14$ $14x+14y=340$ $340 = (x-y)*19$ $19x-19y=340$ $14x+14y=19x-19y$ $14y=5x-19y$ $33y=5x$ $33y/5=5x/5$ $33y/5=x$ $14x+14y=340$ $14*(33y/5)+14y=340$ $462y/5+14y=340$ $462y+70y/5=340$ $532y/5=340$ $532y/5*5=340*5$ $532y=1700$ $532y/532=1700/532$ $y=3.2$ $14x+14y=340$ $14x+14*3.2=340$ $14x+44.8=340$ $14x=295.2$ $14x/14 =295.2/14$ $x=21.1$
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