Each good worker can paint my new house alone in 12 hours. Each bad worker can
paint my house alone in 36 hours. I need my house painted in 3 hours. If I can only
find 3 good workers, how many bad workers must I also find in order to have my
house painted on time?
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Answer:
Step-by-step explanation:
Each good worker can paint house alone in 12 hours.
=> Each good worker can paint in 1 hr = 1/12
3 good worker can paint in 1 hr = 3/12 = 1/4
3 good worker can paint in 3 hr = 3/4
Remaining work = 1 - 3/4 = 1/4
Each bad worker can paint house alone in 36 hours.
=> Each bad worker can paint in 1 hr = 1/36
=> Each bad worker can paint in 3 hr = 3/36 = 1/12
=> n bad worker can paint in 3 hr = n/12
n/12 = 1/4
=> n = 12/4
=> n = 3
3 bad workers are required
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