SOLUTION: Can't solve this question please help. - Abby, Barry and Crystal are artists painting a mural. Working together it takes them 6 days to complete the entire painting. While worki

Question 882375: Can't solve this question please help.
- Abby, Barry and Crystal are artists painting a mural. Working together it takes them 6 days to complete the entire painting. While working, they notice that Abby paints 3 times faster than Crystal, and Barry paints 1.5 times faster than Crystal. How long would it have taken Crystal to paint the mural alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working to get
their rate working together
Let = Abby's rate
Let = Barry's rate
Let = Crystal's rate
Their rate working together is
( 1 mural ) / ( 6 days ), so
(1)
Also given:
(2)
(3)
----------------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
Crystal would have taken 33 days to
paint the mural working alone
----------------------------
check:
(2)
(2)
(2)
and
(3)
(3)
(3)
---------------------
and, from (3):
(1)
(1)
(1)
(1)
(1)
OK

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