SOLUTION: a certain printer can do a printing job in 3 hours. with a second printer , the same job can be done in 2 hours. how long would it take the second printer to do the same job?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: a certain printer can do a printing job in 3 hours. with a second printer , the same job can be done in 2 hours. how long would it take the second printer to do the same job?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1009162: a certain printer can do a printing job in 3 hours. with a second printer , the same job can be done in 2 hours. how long would it take the second printer to do the same job?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
A certain printer can do a printing job in 3 hours. With a second printer, the same job can be done in 2 hours.
How long would it take the second printer to do the same job?
------------------------------------------------------------------- 
The rate of work of the first printer is 1%2F3 of the job per hour.

The rate of work of two printers (when they work together) is 1%2F2 of the job per hour, according to condition.

Hence, rate of work of the second printer (if it works alone) is 1%2F2 - 1%2F3 = 3%2F6+-+2%2F6 = 1%2F6 of the job per hour.

It means that the second printer can do the printing job in 6 hours working alone.

For similar problems on joint work see the lessons 

  Using fractions to solve word problems on joint work  and
  Solving more complicated word problems on joint work

in this site.