Respuesta :
Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned
by Jayden is twice the number of rooms cleaned by Chandra.
Response:
- Jayden cleans 8 rooms while Chandra cleans 4 rooms
Which method can be used to find the number of rooms cleaned by Jayden and Chandra?
Number of rooms in the house = 12
The time that Jayden takes to clean the house = 6 hours
Time that it takes Chandra to clean the house by herself = 12 hours
Time it takes both of them to clean the house = 4 hours
Required:
The number of rooms that Jayden clean and the number of rooms that
Chandra cleans when they work together.
Solution:
Given that the time it takes Jayden to clean the house is half the time
taken by Chandra.
Therefore;
The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;
Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1
Total number of rooms cleaned = 12
[tex]Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}[/tex]
The number of rooms cleaned by Chandra = 12 - 8 = 4 rooms
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