SOLUTION: It would take Maricar 10 hours working alone to clean all hotel rooms, while it would take Marivic only 8 hours. How long would it take them to do the job together?
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Question 551677: It would take Maricar 10 hours working alone to clean all hotel rooms, while it would take Marivic only 8 hours. How long would it take them to do the job together? Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website! It would take Maricar 10 hours working alone to clean all hotel rooms, while it would take Marivic only 8 hours. How long would it take them to do the job together?
Let the desired time be x
Make this chart and put x for the time required working together, and 10 and
8 for the times for them working separately.
Number of Number of Rate in
jobs done hours required jobs/hour
Maricar working alone 10
Marivic working alone 8
Both working together x
In all three cases 1 job is being done, so we fill in 1 for the number
of jobs:
Number of Number of Rate in
jobs done hours required jobs/hour
Maricar working alone 1 10
Marivic working alone 1 8
Both working together 1 x
Fill in the rates in jobs/hour by dividing jobs done by hours:
Number of Number of Rate in
jobs done hours required jobs/hour
Maricar working alone 1 10
Marivic working alone 1 8
Both working together 1 x
The equation comes from
+ = + =
Solve that equation and get or hours or
4 hours, 26 minutes and 40 seconds.
Edwin