SOLUTION: Alonzo can clean up a restaurant he works at in 4 hours. Together Alonzo and Tim can clean up the restaurant in one and one-half hours. How long would it take Tim to clean up the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Alonzo can clean up a restaurant he works at in 4 hours. Together Alonzo and Tim can clean up the restaurant in one and one-half hours. How long would it take Tim to clean up the      Log On


   

Question 984393: Alonzo can clean up a restaurant he works at in 4 hours. Together Alonzo and Tim can clean up the restaurant in one and one-half hours. How long would it take Tim to clean up the restaurant alone?
The answer given is 2 2/5 hours. How do you get this answer? Thanks
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rates of the people working together are additive. Keep the rates in the form of JOB per HOUR.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If A can do a job in hours, then A can do of the job in 1 hour.

Likewise, if A and B can do a job in hours, A and B can do of the job in 1 hour.

The fraction of the job that B could do by himself in one hour is then . And then B can do the whole job in the reciprocal of that number.

Just do the arithmetic.

John

My calculator said it, I believe it, that settles it