Math Problem Statement
A bus travels 40 km in 30 minutes. If the speed of the bus remains the same, how far can it travel in 3 hours?
Solution
To solve this problem, we need to first find the speed of the bus and then use that speed to calculate how far it can travel in 3 hours.
Step 1: Calculate the speed of the bus.
- The bus travels 40 km in 30 minutes.
- To find the speed in kilometers per hour (km/h), we convert 30 minutes into hours:
- Now, calculate the speed:
Step 2: Calculate the distance the bus can travel in 3 hours.
- If the speed is 80 km/h, the distance traveled in 3 hours is:
Final Answer:
The bus can travel 240 km in 3 hours.
Would you like further details or have any questions?
Here are some related questions for practice:
- How long would it take for the bus to travel 200 km at the same speed?
- What is the speed in meters per second if the bus travels 40 km in 30 minutes?
- If the bus increases its speed by 20%, how far would it travel in 3 hours?
- How far would the bus travel in 4 hours at its original speed?
- What is the total time required to travel 320 km at the same speed?
Tip: Always ensure that the units of time and distance are consistent when calculating speed or distance!
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Math Problem Analysis
Mathematical Concepts
Distance
Speed
Time
Proportional Reasoning
Formulas
Speed = Distance / Time
Distance = Speed × Time
Theorems
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Suitable Grade Level
Grades 6-8