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It takes three cleaners four hours to clean and prepare a conference room for an event.How long would it take four people to clean the same room at the same rate?

Question

It takes three cleaners four hours to clean and prepare a conference room for an event.How long would it take four people to clean the same room at the same rate?

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Solution

First, we need to determine the total work done. In this case, the total work done is cleaning a conference room which takes 3 cleaners 4 hours. So, the total work done can be represented as 3 cleaners * 4 hours = 12 cleaner-hours.

Next, we need to determine the rate at which the work is done. The rate is the total work done divided by the number of people doing the work. So, the rate is 12 cleaner-hours / 3 cleaners = 4 hours/cleaner.

Finally, we need to determine how long it would take 4 cleaners to do the same work at the same rate. We do this by dividing the total work done by the number of cleaners. So, it would take 12 cleaner-hours / 4 cleaners = 3 hours.

So, it would take 4 cleaners 3 hours to clean the conference room at the same rate.

This problem has been solved

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