Adam can do a piece of work in 10 days, and Brandon can do the same work in 20 days. With the help of Catty, they finished the work in 4 days. Catty can do the work in how many days, working alone?
Question
Adam can do a piece of work in 10 days, and Brandon can do the same work in 20 days. With the help of Catty, they finished the work in 4 days. Catty can do the work in how many days, working alone?
Solution
Sure, let's solve this step by step:
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First, we need to find out how much work Adam and Brandon can do in one day. Adam can finish the work in 10 days, so he can do 1/10 of the work in one day. Similarly, Brandon can do 1/20 of the work in one day.
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Together, Adam and Brandon can do 1/10 + 1/20 = 3/20 of the work in one day.
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Now, we know that Adam, Brandon, and Catty together can do the work in 4 days, which means they can do 1/4 of the work in one day.
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So, Catty can do 1/4 - 3/20 = 1/20 of the work in one day, working alone.
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Therefore, Catty can do the whole work in 20 days, working alone.
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