The rational function 2t + 2 gives the number of hours it will take two pipes, working together, to fill a pool that the larger pipe (working alone) could fill in t hours and the smaller pipe (working alone) could fill in t + 2 hours. (Round your answers to one decimal place.) (a) If the smaller pipe could fill a pool in 5 hours, how long would it take both pipes to fill the pool? 1.5 X hours (b) If the larger pipe could fill a pool in 8 hours, how long would it take both pipes to fill the pool? 4 x hours

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 42PS
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The rational function
t2 + 2t
f(t) :
2t + 2
gives the number of hours it will take two pipes, working together, to fill a pool that the larger pipe (working alone) could fill in
hours and the smaller pipe (working alone) could fill in t + 2 hours.
(Round your answers to one decimal place.)
(a) If the smaller pipe could fill a pool in 5 hours, how long would it take both pipes to fill the pool?
1.5
hours
(b) If the larger pipe could fill a pool in 8 hours, how long would it take both pipes to fill the pool?
4
X hours
Transcribed Image Text:The rational function t2 + 2t f(t) : 2t + 2 gives the number of hours it will take two pipes, working together, to fill a pool that the larger pipe (working alone) could fill in hours and the smaller pipe (working alone) could fill in t + 2 hours. (Round your answers to one decimal place.) (a) If the smaller pipe could fill a pool in 5 hours, how long would it take both pipes to fill the pool? 1.5 hours (b) If the larger pipe could fill a pool in 8 hours, how long would it take both pipes to fill the pool? 4 X hours
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