SOLUTION: If three people working together can clean an office suite in two hours, how long will it take a crew of four people to clean the office?

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Question 563720: If three people working together can clean an office suite in two hours, how long will it take a crew of four people to clean the office?
Found 2 solutions by solver91311, bucky:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


3 people clean 1 office in 2 hours, so

3 people clean 1/2 of an office in 1 hour, so

1 person cleans 1/6 of an office in 1 hour, so

4 people clean 4/6 = 2/3 of an office in 1 hour, so

4 people clean 1 office in 3/2 of an hour, i.e. 1 hour 30 minutes.

John

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Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Three people clean the office in 2 hours means that it takes 6 person-hours of work to clean the office (3 persons times 2 hours = 6 person-hours).
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So 4 persons will need to work 6 person-hours to clean the office.
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To find the number of hours 4 persons need to work to complete 6 person-hours, divide 4 persons into 6 person-hours and you get the answer of 1.5 hours (4 into 6 = 1.5).
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Or if you prefer, since a half hour is 30 minutes, 1.5 hours is the same as 1 hour and 30 minutes for the 4 persons to completely clean the office.
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Hope this helps you to understand the problem.
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