SOLUTION: The HP officejet 6110 takes twice the time required by the Canon Imageclass D680 to photocopy brochures for the New Bretton Arts Council year-end concert. If working together the

Question 61081This question is from textbook Intermediate Algebra
: The HP officejet 6110 takes twice the time required by the Canon Imageclass D680 to photocopy brochures for the New Bretton Arts Council year-end concert. If working together the two machines can complete the job in 24min, how long would it take each machine, working alone to copy the brochures? This question is from textbook Intermediate Algebra

Answer by uma(370) (Show Source): You can put this solution on YOUR website!
Suppose the time taken by the Canon machine to complete the job = x hrs.
So time taken by the HP machine = 2x hrs.
Quantity copied by the canon in 1 hr = 1/x
Quantity copied by the HP in 1 hr = 1/2x
Together the quantity copied in 1 hr = 1/x + 1/2x
= (2+1)/2x [taking LCD]
= 3/2x
Given the time taken by both to complete the job = 24 min
==> quantity copied in 1 hr = 1/24
Equating we get,
1/24 = 3/2x
multiply both the sides by 24x(LCD),
(1/24)(24x) = (3/2x)(24x)
==> x = 36
Thus the Canon takes 36 minto copy and the HP takes 36*2 = 72 min to copy.

Good Luck!!!

RELATED QUESTIONS
The officejet h470 printer takes twice the time required by the hp officejet pro k5400... (answered by ankor@dixie-net.com)

"We are comparing two plotters. An HP and a Canon. The HP lists for $3427 and the Canon... (answered by TimothyLamb)

It takes the Canon printer 15 min longer to print a set of photos than it takes the HP... (answered by richwmiller)

the time required for an elevator to lift a weight varies directly with the weight and... (answered by Cromlix)

An engines HP is raised by 12.4%. The new HP is now rated at 68hp. What was the original... (answered by user_dude2008)

if a certain canon is fired from a height of 9.2 m above the ground at a certain angle... (answered by ankor@dixie-net.com)

You are using a photocopy machine to reduce an advertisement that is 14 in. wide by 21... (answered by elima)

bret started on a 70mile bicycle ride at 20milesper hour. After a time he became a... (answered by gonzo)

Bret started on a 80-mile bicycle ride at 19 miles per hour. After a time he became a... (answered by checkley77)