ria can paint a room in 4 hours. destiny can paint the same room in 6 hours. how long would it take ria and destiny to paint the room if they were working together? provide your answer in decimal form and omit units.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Rational Equations" ], "new_concepts": [ "Work Rate Problems" ], "current_concepts": [ "Solving Rational Equations", "Work Rate Problems" ] } ## Set up the work rate equation $$ \frac{1}{4} + \frac{1}{6} = \frac{1}{t} $$ ## Solve for the combined time t $$ \begin{aligned} \frac{3}{12} + \frac{2}{12} &= \frac{1}{t} \ \frac{5}{12} &= \frac{1}{t} \ t &= \frac{12}{5} = 2.4 \end{aligned} $$ Ria can paint a room in 4 hours. Destiny can paint the same room in 6 hours. How long would it take Ria and Destiny to paint the room if they were working together? Provide your answer in decimal form and omit units. Provide your answer below: 2.4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Rational Equations" ] }

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Explanation:

Set up the work rate equation

Solve for the combined time t

Answer: