## Math Problem Statement

Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them 60 minutes to paint a living room with all three working together, how long would it take Abbie if she works alone?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Rate problems

Fractions

Algebra

### Formulas

Combined work rate formula: 1/T = 1/t1 + 1/t2 + 1/t3

Abbie's rate formula: A = 1/time taken

Rate addition: A + A/2 + A/3 = Combined rate

### Theorems

Rate addition for combined work problems

### Suitable Grade Level

Grades 8-10

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