Math Problem Statement
Solve this question
Solution
The problem asks how many pages Colton would read in one hour (60 minutes) given that he reads 19 1/3 pages in 20 minutes at a constant rate. Let's solve this step by step:
Step 1: Convert the mixed number
Colton reads 19 1/3 pages in 20 minutes. Convert this to an improper fraction: This is the number of pages he reads in 20 minutes.
Step 2: Determine pages per minute
Since Colton reads pages in 20 minutes, the number of pages he reads per minute is:
Step 3: Calculate the number of pages read in 60 minutes
To find how many pages he reads in 60 minutes, multiply the pages per minute by 60:
Final Answer:
Colton will read 58 pages in one hour (60 minutes).
Would you like further details or have any questions?
Here are five related questions:
- How would the result change if Colton read faster or slower?
- What if Colton read 25 pages in 20 minutes instead? How many in one hour?
- How do you convert between mixed numbers and improper fractions?
- How can you generalize this problem for any number of pages and minutes?
- What is the importance of unit rates in solving real-life problems?
Tip: Always convert mixed numbers to improper fractions before performing calculations, as it simplifies the arithmetic.
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Math Problem Analysis
Mathematical Concepts
Fractions
Rates
Unit Conversions
Formulas
Mixed number to improper fraction conversion
Rate calculation: Pages per minute = Total pages / Total time
Multiplying the rate by the total time to find the total number of pages read
Theorems
Basic rate calculation theorem (distance = rate × time analogy)
Suitable Grade Level
Grades 6-8