SOLUTION: Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room
Log On
Question 1032871: Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room alone? Found 4 solutions by stanbon, josgarithmetic, MathTherapy, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room alone?
-----
Beth rate: 1/8 job/hr
In 3 hrs Beth does 3/8 of the job.
---
Aaron's rate is 1/x job/hr
-----
2.5(1/8 + 1/x) = 5/8 job
-----
(1/8 + 1/x) = 1/4
(x+8)/(8x) = 1/4
x+8 = 8x
7x = 8
x = 8/7 hr = 1 hr 8 min 34 seconds (time for Aaron to do the job alone)
--------------
Cheers,
Stan H.
--------------
You can put this solution on YOUR website! "Paint the room" is one whole job. Beth and then Beth & Aaron do their work to complete 1 job. The rule can be stated RT=J to relate rate, time, amount of job.
Do you understand this equation? Observe and consider the two expressions on the left and that their sum is 1 whole job.
You can put this solution on YOUR website!
Beth can paint a room in 8 hours. She begins and is joined 3 hrs later by Aaron. The two of them complete the job in 2.5 more hours. How long would it take Aaron to paint the room alone?
You can put this solution on YOUR website! .
A wide variety of similar introductory joint-work problems were solved for you with detailed explanations in these lessons
(