SOLUTION: ali can do a job in 9 hr, while susan can do the same job in 5 hr. how long would it take them to do the job if they worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: ali can do a job in 9 hr, while susan can do the same job in 5 hr. how long would it take them to do the job if they worked together?      Log On


   

Question 926098: ali can do a job in 9 hr, while susan can do the same job in 5 hr. how long would it take them to do the job if they worked together?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = ali work rate (jobs/hr)
y = susan work rate (jobs/hr)
---
rate = work/time
time = work/rate
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rate working together:
x + y = 1/9 + 1/5
---
time working together:
time = 1/(x + y) = 1/( 1/9 + 1/5 )
---
answer:
time = 3.21428571429 hours
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