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Rusty and Nancy Brauner are planting flats of spring flowers. Working alone, Rusty would take 2 hr longer than Nancy to plant the flowers. Working together, they do the job in 12 hr. How long (to the nearest tenth) would it have taken each person working alone?
Rusty: $25.0 \mathrm{hr} ;$ Nancy: $23.0 \mathrm{hr}$
Precalculus
Algebra
Chapter 11
Quadratic Equations, Inequalities, and Functions
Section 4
Equations Quadratic in Form
Introduction to Conic Sections
Equations and Inequalities
Functions
Polynomials
McMaster University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
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Hi. So it is given that if Henry and Irene are working together, they will take one. How? Our and 48 minutes, which is sick or go 60 plus 48 as equal. Go one, not eight minutes. So we cannot zoom. Let Irene need Why minutes? You work alone, then Hendry really need why Place 1.5 hours, which is equal to y Pless in 19 minutes. This argue one in question. So if they take one, not eight minutes. If they work together, then in one minute there will complete one day one, not eight, but off the work. And similarly, if they work alone, Irene will complete one. Do it by by a Y or one part out. Off. Why? In one minute and Henry will complete one note off way plus 90 part in one minute. So, um, if they work together, it is one out off one, not a part. So we can write that one note off y Pless. One note off way plus 90 is equal to one note off one, not eight. So if we sold this equation, we can write that y plus 90 bless y toward by why, Indu Way place nineties equal toe one out of or not or no date. So we take one right to the side. And do you don't decision limited to the side so we can write that why you do way plus 90 is equal toe one notated do do away plus 90 that is y square plus 90 ways equal to one note dating do two way plus 90 or is equal to 216 way place 97 to 0 or we can write the quarterly creationists Boy square minus 1 26. Why minus 97 to 0 equal to zero. So if we sold the situation we can get, we will get Why is he quartile 1 80 the other value of what will be negative? It is not possible or it is not acceptable So why is equal to one idea? That means Irene will take 1 80 Mainers or is equal to three hours If she worked alone and Hendry will take way plus 90 which is equal to three year was place 1 94 Would you see quarto 4.5 I was to complete if he was alone
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