Here we have a problem of rates of work, where we want to find the rate at which two people would work together, so we can find the time it takes to complete a given job when these two work together..
We will find that they need to work for 6/5 hours to do the laundry together.
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We know that:
- Muriel can do the laundry in 3 hours.
- Rea can do the laundry in 2 hours.
<em>Then we can define:</em>
- M = rate at which Muriel works = 1/3h
- R = rate at which Rea works = 1/2h
Where the rates are computed as the quotient between 1 (1 total laundry completed) and the amount of time it takes to do it.
If they work together, the rate just adds up, so we will have:
rate = (M + R) = 1/3h + 1/2h
Now we need to write that as a single fraction, so we get:
rate = 1/3h + 1/2h = 2/6h + 3/6h = 5/6h
Now we can write an equation of the form:
rate*time = 1
Where the 1 again, means "one complete laundry done".
Then we have:
(5/6h)*T = 1
T = (6/5)h
This means that they need to work for (6/5) hours to do the laundry together.
If you want to learn more, you can read:
brainly.com/question/14305692
