When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in r hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of r?	Choose the correct choice from the following choices:
A) 3/4
B) 1[1/5]
C) 1[2/5]
D) 1[3/4]
E) 2
Rate*Time=Work   Let Painter W's rate be W and Painter X's rate be X   R*T = Work   W * 2 = 1 (If the work done is same throughout the question then the work done can be taken as 1) =&gt; W = 1/2   X * r = 1 =&gt; X = 1/z   When they both work together then their rates get added up   Combined Rate = (W+X)   R*T = Work   (W+X) * 3/4 = 1   =&gt; W+X = 4/3   =&gt; 1/2 + 1/r = 4/3   =&gt; 1/r = (8-3)/6 = 5/6   =&gt; r = 6/5 = 1[1/5]   Answer 1[1/5]
<result>B</result>
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in r hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of r?