SOLUTION: A new high-speed copier works three times as fast as a regular copier. When both copiers are used, they can copy a group of documents in 12 minutes. How long would each copier requ

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A new high-speed copier works three times as fast as a regular copier. When both copiers are used, they can copy a group of documents in 12 minutes. How long would each copier requ      Log On


   

Question 188567: A new high-speed copier works three times as fast as a regular copier. When both copiers are used, they can copy a group of documents in 12 minutes. How long would each copier require to do the copying alone?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Take note: RC = 3HC, *High Speed is 3 times faster than Regular

1/RC + 1/HC = 1/Total Minutes, EQN 1
%281%2Fhighlight%283HC%29%29%2B%281%2FHC%29=%281%2F12%29
Get LCD to add
%281%2B3%29%2F3HC=1%2F12
4%2F3HC+=1%2F12 , cross multiply
3HC%2A1=4%2A12=48 ----> cross%283%29HC%2Fcross%283%29=cross%2848%2916%2Fcross%283%29
highlight%28HC=16minutes%29, High Speed Copier
Also,
RC=3%2AHC=3%2A16=highlight%2848minutes%29, Regular Copier
Check, go back EQN 1
1%2F48%2B1%2F16=1%2F12
%281%2B3%29%2F48=1%2F12
4%2F48=1%2F12
1%2F12=1%2F12
Thank you,
Jojo