Mary can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. if they work together how long would it take them to clean the apartment

Answer : The time taken to clean the apartment when they work together is, 2.73 hours.

Step-by-step explanation :

Let the time taken to clean the apartment be, 'x' hours

As we are given that Mary can clean her apartment in 6 hours and her roommate can clean the apartment in 5 hours. The work is same.

Amount of work done by Mary :

Amount of work done in 1 hour =

Amount of work done in 'x' hour =

Amount of work done by roommate :

Amount of work done in 1 hour =

Amount of work done in 'x' hour =

As the work is same. That means, the amount of work done is, 1.

Now we have to determine the time taken to clean the apartment when they work together.

By solving the term 'x', we get:

Thus, the time taken to clean the apartment when they work together is, 2.73 hours.

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step-by-step explanation: