SOLUTION: suppose an average professor can do a certain job in nine hours and an average student can do the same job in six hours. if three professor and teo students work together, how long

Question 393595: suppose an average professor can do a certain job in nine hours and an average student can do the same job in six hours. if three professor and teo students work together, how long the job take?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
suppose an average professor can do a certain job in nine hours and an average
student can do the same job in six hours.
if three professor and two students work together, how long the job take?
:
Let t = time required if all 5 people do the job
Let the completed job = 1
:
A shared work equation for 5 people
+ + + + = 1
Can be written:
+ = 1
multiply by 18 to clear the denominators
2(3t) + 3(2t) = 18
6t + 6t = 18
t =
t = 1.5 hrs
:
You can check this by substitution in original equation
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