Faye can clean her room in 3 hours. Aciela can clean her room in 6 hours. How long will it take to finish the job if they work together?*1 hour2 hours3 hours4 hours
Question
Faye can clean her room in 3 hours. Aciela can clean her room in 6 hours. How long will it take to finish the job if they work together?*1 hour2 hours3 hours4 hours
Solution
To solve this problem, we need to find out how much of the cleaning job each person can do per hour, and then add these amounts together to find out how much they can do together.
- Faye can clean her room in 3 hours. This means that Faye can clean 1/3 of her room in 1 hour.
- Aciela can clean her room in 6 hours. This means that Aciela can clean 1/6 of her room in 1 hour.
- If they work together, they can clean (1/3 + 1/6) of the room in 1 hour. This equals 1/2 of the room in 1 hour.
- Therefore, if they work together, it will take them 2 hours to clean the room. So, the answer is 2 hours.
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