When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint ...
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in h 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 h?
Answer/Solution
1[1/5]
Steps/Work
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) => W = 1/2
X * h = 1 => X = 1/h
When they both work together then their rates get added up
Combined Rate = (W+X)
R*T = Work
(W+X) * 3/4 = 1
=> W+X = 4/3
=> 1/2 + 1/h = 4/3
=> 1/h = (8-3)/6 = 5/6
=> h = 6/5 = 1[1/5]
Answer B
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) => W = 1/2
X * h = 1 => X = 1/h
When they both work together then their rates get added up
Combined Rate = (W+X)
R*T = Work
(W+X) * 3/4 = 1
=> W+X = 4/3
=> 1/2 + 1/h = 4/3
=> 1/h = (8-3)/6 = 5/6
=> h = 6/5 = 1[1/5]
Answer B