Math Problem Statement
Solution
The problem asks how far the bus will go in 120 minutes, given that it travels 15 miles in 30 minutes.
Step-by-step solution:
-
Determine the bus's rate of travel:
- The bus travels 15 miles in 30 minutes.
- To find the rate of travel, divide the distance by the time:
-
Calculate the distance traveled in 120 minutes:
- Now that we know the bus travels 0.5 miles per minute, we can multiply that rate by 120 minutes to find the distance for 120 minutes:
Thus, the bus will travel 60 miles in 120 minutes.
The correct answer is: 60 miles.
Would you like further clarification or have any questions about the solution?
Here are some related questions you might find interesting:
- How do you calculate rate from a distance and time?
- How would the result change if the bus traveled 10 miles in 30 minutes instead?
- How do you calculate time if you know distance and rate?
- What if the bus was traveling at 0.25 miles per minute? How far would it go in 120 minutes?
- How can you set up a proportion to solve this type of problem?
Tip: Always ensure the units of measurement (miles, minutes) are consistent when performing calculations.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Unit Rates
Formulas
Rate = Distance ÷ Time
Distance = Rate × Time
Theorems
Proportion Theorem
Suitable Grade Level
Grades 4-6
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