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
**
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)