Tom, Rich, and Harry want to paint a room together. If Tom and Rich together can paint the same room in 1.2 hours, how long will it take the three of them, working together, to paint that room?
Tom and Rich together can paint the room in 1.2 hours
To find the time taken by three of them, we need to know how much time Harry needs to paint the room alone.
(1) Rich and Harry together can paint that room in 0.75 hours.
From this information we can't find the time taken by Harry alone or time taken by three of them.
Not sufficient
(2) Tom and Harry together can paint that room in 2/3 hours.
From this information we can't find the time taken by Harry alone or time taken by three of them.
Not sufficient
Statement 1 and 2 Together
Tom and Rich together can paint the room in 1.2 hours
Rich and Harry together can paint that room in 0.75 hours.
Tom and Harry together can paint that room in 2/3 hours.
from the above information we can find out the time taken by each one of them to paint the room. Hence, we can also determine the time taken by three of them.
Sufficient
Answer C