SOLUTION: An old piece equipment can print, stuff, and label 38 mailing pieces per minute. A newer model can handle 82 per minute. How long will it take for both pieces of equipment to prep

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An old piece equipment can print, stuff, and label 38 mailing pieces per minute. A newer model can handle 82 per minute. How long will it take for both pieces of equipment to prep      Log On


   

Question 1086551: An old piece equipment can print, stuff, and label 38 mailing pieces per minute. A newer model can handle 82 per minute. How long will it take for both pieces of equipment to prepare 6000 pieces?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rates of working for these
machines are:
Old machine:
[ 38 pieces ] / [ min ]
Newer machine:
[ 82 pieces ] / [ min ]
----------------------------
Let +t+ = time in minutes for
both mchine working together
to prepare +6000+ pieces
Add their rates of working to get
their rate working together
--------------------------------
+38%2F1+%2B+82%2F1+=+6000%2Ft+
+120+=+6000%2Ft+
+t+=+6000%2F120+
+t+=+50+
It will take them 50 minutes working together