SOLUTION: An old printing press takes 5 hours longer to put out a daily paper than does a new press. If the two press work together, the job takes 6 hours. How long does it take each press t

Question 1176203: An old printing press takes 5 hours longer to put out a daily paper than does a new press. If the two press work together, the job takes 6 hours. How long does it take each press to put out the paper on its own?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An old printing press takes 5 hours longer to put out a daily paper than does a new press.
If the two press work together, the job takes 6 hours.
How long does it take each press to put out the paper on its own?
:
let t = time required by the new press to do the job
then
(t+5) = time required by the old press
let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
+ = 1
Multiply by t(t+5), cancel the denominators
6(t+5) + 6t = t(t+5)
6t + 30 + 6t = t^2 + 5t
12t + 30 = t^2 + 5t
form a quadratic on the right'
0 = t^2 + 5t - 12t - 30
t^2 - 7t - 30 = 0
Factors to
(t-10)(t+3) = 0
positive solution is all we want here
t = 10 hrs required by the new press
then, obviously
15 hrs required by to old press
:
:
See if that works
+ =
+ = 1

RELATED QUESTIONS
Two printing presses are available to print the daily college newspaper. If only one... (answered by ikleyn)

Hi, I would like to say thank you in advance. My question is: A certain punch... (answered by josgarithmetic,Boreal)

Printing press A can print an order in 7hours. If printing press B is used along with... (answered by Edwin McCravy,dolly)

One printing press can produce a newspaper in six hours running alone. . A second press... (answered by josmiceli)

Two printing presses, working together, can complete a job in 2 hours. If one press... (answered by ptaylor)

A printing press can print a newspaper in 4 hours. After the press has worked for one... (answered by richwmiller)

a printing shop starts a job at 10 A.M. on press A. Using this press alone, it would take (answered by richwmiller)

A printing shop starts a job at 10 a.m. on press A. Using this press alone, it would take (answered by richwmiller)

a printing shop starts a job at 10 a.m. on press A. Using this press alone, it would take (answered by richwmiller)