Solve the problem.
-Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?
A) 6 hr
B) 3 hr
C) 15 hr
D) 9 hr

Question

Quizplus · Accepted Answer

Let Juanita's time to complete the job alone be x hours. Then Rick's time is x + 9 hours. Their combined rate is 1/6 of the job per hour. Juanita's rate is 1/x and Rick's rate is 1/(x+9). Setting up the equation: 1/x + 1/(x+9) = 1/6. Solving this gives x = 9 hours for Juanita.

Solve the Problem. -Working Together, Rick and Juanita Can Complete a Job in a Job