if tammy can clean 1/2 the area in an hour by herself and melissa can clean 1/3 the area by herself in an hour then how long will it take them to clean the area together.
If it takes x hours, then
1/2 + 1/3 = 1/x
5/6
To find out how long it will take Tammy and Melissa to clean the entire area together, we need to determine how much of the area they can clean in one hour combined.
Tammy can clean 1/2 of the area in one hour, while Melissa can clean 1/3 of the area in one hour.
To find the combined cleaning rate, we need to add their individual cleaning rates:
1/2 + 1/3 = (3/6) + (2/6) = 5/6
So, together Tammy and Melissa can clean 5/6 of the area in one hour.
Now, we can calculate how long it will take them to clean the entire area by dividing the total area by their combined cleaning rate:
1 / (5/6) = 1 * (6/5) = 6/5
Therefore, it will take Tammy and Melissa 6/5 of an hour (or 1.2 hours) to clean the entire area together.