SOLUTION: you and your apprentice paint walls at a constant pace. you can paint a wall in 4 hours . your apprentice can paint the same wall in 6 hours. true or false ? it will take you betwe

Algebra ->  Rate-of-work-word-problems -> SOLUTION: you and your apprentice paint walls at a constant pace. you can paint a wall in 4 hours . your apprentice can paint the same wall in 6 hours. true or false ? it will take you betwe      Log On


   

Question 717532: you and your apprentice paint walls at a constant pace. you can paint a wall in 4 hours . your apprentice can paint the same wall in 6 hours. true or false ? it will take you between two and a half and three hours to complete the job together ( hint: what fraction is complete after 1 hour ?
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Just solving the problem as directly as you can may be best.

Painter___________rate__________time___________Amount of jobs
Me________________1/4___________4______________1
Apprentice________1/6___________6______________1
Both of us_______1/4+1/6_______(?)_____________1

Our rate, both of us together, is 1%2F4%2B1%2F6=%283%2B2%29%2F12 jobs per hour. That rate is 5/12 jobs per hour. Since we really want how many hours per 1 job, we want the reciprocal of 5/12, which is highlight%2812%2F5=2%262%2F5%29 hours. This is definitely a few minutes LESS THAN two and a half hours.