Solve the problem.
-Working together, Rick and Juanita can complete a job in 4 hours. It would take Rick 6 hours longer than Juanita to do the job alone. How long would it take Juanita alone?
A) 10 hr
B) 6 hr
C) 4 hr
D) 12 hr

Question

Quizplus · Accepted Answer

Let Juanita's time to complete the job alone be x hours. Then Rick's time is x + 6 hours. Their combined rate is 1/4 of the job per hour. Juanita's rate is 1/x and Rick's rate is 1/(x+6). Setting up the equation: 1/x + 1/(x+6) = 1/4. Solving this equation gives x = 6 hours.

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