SOLUTION: Aileen and Emily are roommates. Working together, it takes the 45 minutes to clean their room. Today is Aileen's day to clean. She can clean the room by herself in 2/3 the time it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Aileen and Emily are roommates. Working together, it takes the 45 minutes to clean their room. Today is Aileen's day to clean. She can clean the room by herself in 2/3 the time it       Log On


   



Question 840361: Aileen and Emily are roommates. Working together, it takes the 45 minutes to clean their room. Today is Aileen's day to clean. She can clean the room by herself in 2/3 the time it takes Emily to clean the room by herself. How many minutes does it take Aileen to clean by herself? How many minutes does it take Emily?
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
Let time taken by Emily be x
then alieen take 2/3 of x = 2x/3
1 min work of emily = 1/x
1 min work of alieen =1%2F%282x%2F3%29 => 3/2x
i min work of both = 1/45
1/x + 3/2x = 1/45
5/2x = 1/45
1/x = 2/225
Emily take 225/2 mins to complete the work, then alieen = 225/2*2/3 = 75 mins