Final Answer:
Parvin can clean 34 plates in 20 minutes, 51 plates in 30 minutes, 68 plates in 40 minutes, 85 plates in 50 minutes, and 102 plates in 60 minutes.
Explanation:
We are given that Parvin can clean 17 plates in 10 minutes. We need to find out how many plates she can clean in different amounts of time.
To do this, we can use the following proportion:
17 plates / 10 minutes = x plates / y minutes
where x is the number of plates Parvin can clean in y minutes.
We can simplify this proportion by cross-multiplying to get:
17y = 10x
Solving for x, we get:
x = (17y) / 10
Therefore, Parvin can clean (17y) / 10 plates in y minutes.
Using this formula, we can find out how many plates Parvin can clean in different amounts of time:
In 20 minutes, Parvin can clean (17 * 2) / 10 = 34 plates.
In 30 minutes, Parvin can clean (17 * 3) / 10 = 51 plates.
In 40 minutes, Parvin can clean (17 * 4) / 10 = 68 plates.
In 50 minutes, Parvin can clean (17 * 5) / 10 = 85 plates.
In 60 minutes, Parvin can clean (17 * 6) / 10 = 102 plates.
Therefore, Parvin can clean 34 plates in 20 minutes, 51 plates in 30 minutes, 68 plates in 40 minutes, 85 plates in 50 minutes, and 102 plates in 60 minutes.