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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?

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Solution

Sure, let's solve this step by step:

  1. 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.

  2. Together, Adam and Brandon can do 1/10 + 1/20 = 3/20 of the work in one day.

  3. 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.

  4. So, Catty can do 1/4 - 3/20 = 1/20 of the work in one day, working alone.

  5. Therefore, Catty can do the whole work in 20 days, working alone.

This problem has been solved

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