Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that Bob takes to finish the job alone, while Roger takes an hour faster than Bob. If Bob works for 1 hour, Roger works for 2 hours, and Trinity works for 3 hours to finish the paint job, how long can Bob finish the job alone?

Intermediate Algebra
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Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
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Solve the following word problem. Please provide a clear and complete solution. Answer fast for I have 30 minutes left. Thank you very much.

Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that Bob takes to finish the job alone, while Roger takes an hour faster
than Bob. If Bob works for 1 hour, Roger works for 2 hours, and Trinity works for 3 hours to finish the paint job, how long can Bob finish the job alone?
Transcribed Image Text:Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that Bob takes to finish the job alone, while Roger takes an hour faster than Bob. If Bob works for 1 hour, Roger works for 2 hours, and Trinity works for 3 hours to finish the paint job, how long can Bob finish the job alone?
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