Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 541: 59

Answer

20 hours

Work Step by Step

1st pipe: fills in 20 hours (1/20 done in an hour) 2nd pipe: fills in 15 hours (1/15 done in an hour) $1/20 + 1/15 + 1/x = 1/6$ $6(1/20 + 1/15 + 1/x = 1/6)$ $6/20 + 6/15 + 6/x = 1$ $3/10 + 2/5 +6/x =1$ $3/10 + 4/10 + 6/x = 1$ $7/10 + 6/x = 1$ $6/x = 3/10$ $3x = 60$ $3x/3=60/3$ $x=20$
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