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anygoal
1 month ago
9

Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long

would it take for Rachel to paint the room alone , if Erica wanted to go play tennis for the afternoon ?
Mathematics
1 answer:
zzz [12.3K]1 month ago
4 0
7 hours 30min Step-by-step explanation: Step one: Given information indicates Erica can paint one room in 5 hours, giving her a work rate of 1/5 room per hour. Additionally, she and her friend can paint one room in 3 hours together, meaning their combined rate is 1/3 room per hour. Step two: The equation for the combined work rate is 1/A + 1/B = 1/T, where A = Erica's rate, B = Rachael's rate, and T = total work. Thus, 1/5 + 1/B = 1/3 leads to solving for B. Solving the equation gives B = 7.5 hours, indicating Rachel would take 7 hours 30min to paint the room alone.
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