Algebra-2

The following is the analysis and solution steps for this problem:

 

Step 1: Calculate the work rate of Typist 1

The work rate of Typist 1 is defined as the amount of work done per unit of time. If Typist 1 can type  words in  hours, then the work rate of Typist 1, denoted as , is  words per hour.

 

Step 2: Calculate the combined work rate of the two typists

When both typists work together, they can complete  words in  hours. So the combined work rate of the two typists, denoted as , is  words per hour.

 

Step 3: Calculate the work rate of Typist 2

Let the work rate of Typist 2 be . Since the combined work rate of the two typists is equal to the sum of their individual work rates, we have:

 

We know that  and

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