Problema Solution
2 printing press are available to print the daily college newspaper . If only one press in used, it takes the older press twice as long to print an edition as it takes the news press. If the 2 press together can print an edition in 3hr, how long would it take each press to print an edition?
Answer provided by our tutors
let
x = the hours the older press needs to print the edition alone, thus its rate is 1/x edition per hour
y = the hours the newer press needs to print the edition alone, thus its rate is 1/y edition per hour
if only one press is used, it takes the older press twice as long to print an edition as it takes the news press
x = 2y
the 2 press together can print an edition in 3 hr
1/x + 1/y = 1/3
plug x = 2y into the last equation
1/(2y) + 1/y = 1/3
by solving we find
y = 4.5 hr
click here to see the step by step solution of the equation
x = 2*4.5
x = 9 hr
the older press needs 9 hours to print an edition.
the newer press needs 4.5 hours to print an edition.