Question

Jayden and Chandra are cleaning the house. It has 12 rooms, and each room is about the same size. When Jayden cleans by himself, it takes him 6 hours. When Chandra cleans by herself, it takes her 12 hours. When they clean the house together, they finish in 4 hours. When they work together, how many rooms does Jayden clean and how many does Chandra clean? Show your work.
Please show work.


And label the answer like Jayden = blankrooms and Chandra = blankrooms. Thank you!

Answer 1

We know that

Jayden cleans 12 rooms in---------------> 6 hours
 X rooms-------------------------------------> 4 hours
X=4*12/6--------> 48/6---------> 8 rooms
that means  Jayden  cleans in 4 hours 8 rooms

Chandra cleans 12 rooms in---------------> 12 hours
 X rooms-------------------------------------> 4 hours
X=4*12/12--------> 48/12---------> 4 rooms
that means Chandra  cleans in 4 hours 4 rooms

the answer is
Jayden = 8 blankrooms
Chandra = 4 blankrooms