Question: sing Fractional Equations to Solve Problems (For use with Lesson 5-9) working through the steps in the problems below, you will gain skill in solving

sing Fractional Equations to Solve Problems (For
sing Fractional Equations to Solve Problems (For use with Lesson 5-9) working through the steps in the problems below, you will gain skill in solving problems involving fractional equations. Problem 1 At 9:00 A. M. June began working on the daily reports. At 10:00 A.M. Rosa joined her and the two completed the reports at 1 1:00 A.M. If June, a trainee, needs 2 h more to prepare the reports than Rosa needs, how long would June need to do the job alone? a. What does the problem ask you to find? b. Let j = the number of hours June would need to prepare the reports alone. Write an expression for the number of hours Rosa would need to do the job alone. c. How many hours did each person work? June Rosa d. What fraction of the job did June handle? Answer in terms of j. (Hint: If she can do the whole job in j hours, then each hour she handles - of the job.) e. Write an equation, using 1 to represent the whole job. Solve your equation. Show your work. g. Are both roots of the equation solutions to the problem? Explain. h. Write your answer to the problem. i. Check by finding the numerical part of the job done by each person: Rosa: June: Is the sum of the parts equal to 1? (continued)

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