jamie can paint a wall in 54 minutes. together, connie and jamie can paint the same wall in 36 minutes. how…

Explanation:

Step1: Find Jamle's work - rate

Jamle can paint a wall in 54 minutes. So Jamle's work - rate is $\frac{1}{54}$ of the wall per minute.

Step2: Find the combined work - rate

Connie and Jamle together can paint the wall in 36 minutes. So their combined work - rate is $\frac{1}{36}$ of the wall per minute.

Step3: Find Connie's work - rate

Let Connie's work - rate be $x$ of the wall per minute. Then $\frac{1}{54}+x = \frac{1}{36}$. Solving for $x$: $x=\frac{1}{36}-\frac{1}{54}$ $x=\frac{3 - 2}{108}=\frac{1}{108}$

Step4: Find the time for Connie to paint alone

If Connie's work - rate is $\frac{1}{108}$ of the wall per minute, then the time it takes Connie to paint the wall alone is 108 minutes.

Answer:

D. 108 minutes