SOLUTION: Brett usually takes 50 minutes to groom the horses. After working 10 minutes, he was joined by Angela and they finished the grooming in 15 minutes. How long would it have taken Ang

Click here to see ALL problems on Rate-of-work-word-problems

Question 290965: Brett usually takes 50 minutes to groom the horses. After working 10 minutes, he was joined by Angela and they finished the grooming in 15 minutes. How long would it have taken Angela working alone?
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Brett usually takes 50 minutes to groom the horses.
Brett rate = 1/50 job/min
--------------------------------
After working 10 minutes, he was joined by Angela and they finished the grooming in 15 minutes.
---
Brett worked a total of 25 minutes at (1/50) job/min
He completed 25(1/50) = 1/2 of the job.
---
So Angela does the other half of the job in 15 minutes.
----
How long would it have taken Angela working alone?
Angela could do the whole job in 30 minutes.
====================================================
Cheers,
Stan H.

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
1/5+15/50+15/x=1
x=30 Angela alone
Brett had already done 1/5 of the job when Angela joined him. They finished 4/5 of the job in 15 minutes.
BTW If they had started together they would have finished in 18.75 minutes