SOLUTION: It takes Amy twice as long to clean the office as it does Nancy. How long would it take each girl to clean the office by herself if they can clean the office together in 30 minutes

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Amy twice as long to clean the office as it does Nancy. How long would it take each girl to clean the office by herself if they can clean the office together in 30 minutes      Log On


   

Question 769300: It takes Amy twice as long to clean the office as it does Nancy. How long would it take each girl to clean the office by herself if they can clean the office together in 30 minutes?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of cleaning to get
their rate working together
Nancy's rate:
( 1 office cleaned ) / ( t minutes )
Amy's rate:
( 1 office cleaned ) / ( 2t minutes )
Working together:
( 1 ofice cleaned ) / ( 30 minutes )
-----------------------------
+1%2Ft+%2B+1%2F%28+2t+%29+=+1%2F30+
Multiply both sides by +30t+
+30+%2B+15+=+t+
+t+=+45+
and
+2t+=+90+
Nancy takes 45 min
Amy takes 90 min