Question 473510: Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
(A)1 hour and 30 minutes
(B)1 hour and 45 minutes
(C)2 hours
(D)2 hours and 15 minutes
(E)2 hours and 30 minutes
Thank you so much!
Found 3 solutions by jorel1380, lwsshak3, MathTherapy:
Answer by jorel1380(3719)   (Show Source):
Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
(A)1 hour and 30 minutes
(B)1 hour and 45 minutes
(C)2 hours
(D)2 hours and 15 minutes
(E)2 hours and 30 minutes
**
Let x=hours Carrie and James work together to complete the job.
After working for 1 hour alone, Carrie completed 1/3 of the job.
Carrie and James work together to complete the remaining 2/3 of the job.
x/5+x/3=2/3
3x/15+5x/15=2/3
8x/15=2/3
24x=30
x=30/24=5/4=1.25=1 hr and 15 min
Carrie's time plus time working together = 1+1.25=2 hrs and 15 min
Ans: (D)
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website! Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
(A)1 hour and 30 minutes
(B)1 hour and 45 minutes
(C)2 hours
(D)2 hours and 15 minutes
(E)2 hours and 30 minutes
Thank you so much!
Since Carrie can inspect the entire case of watches in 5 hours, then she can inspect  of the watches in 1 hour, and since James can inspect the entire case of watches in 3 hours, then he can inspect  of the watches in 1 hour
Since Carrie inspected the watches for 1 hour, alone, she completed of the job which means that  of the job remains
Since in 1 hour, Carrie and James can do and of the job, respectively, in order to complete the remaining of the job, we can say that:
This gives us: 
40T = 60 ----- Cross multiplication
T =  =  =  , or,  (CHOICE A)
|
|
|
