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:
    30minutes=3060=0.5hours30 \, \text{minutes} = \frac{30}{60} = 0.5 \, \text{hours}
  • Now, calculate the speed: Speed=DistanceTime=40km0.5hours=80km/h\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{40 \, \text{km}}{0.5 \, \text{hours}} = 80 \, \text{km/h}

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: Distance=Speed×Time=80km/h×3hours=240km\text{Distance} = \text{Speed} \times \text{Time} = 80 \, \text{km/h} \times 3 \, \text{hours} = 240 \, \text{km}

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:

  1. How long would it take for the bus to travel 200 km at the same speed?
  2. What is the speed in meters per second if the bus travels 40 km in 30 minutes?
  3. If the bus increases its speed by 20%, how far would it travel in 3 hours?
  4. How far would the bus travel in 4 hours at its original speed?
  5. 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