Math Problem Statement

If a car travels 45 km in 1 1/2 hours, how far will it travel in an hour?

Solution

The problem states that a car travels 45 km in 1121 \frac{1}{2} hours. The question asks how far the car will travel in one hour.

To find the distance the car travels in one hour, we need to calculate the car's speed in km per hour (km/h). This can be done by dividing the total distance traveled by the total time it took.

Step 1: Convert the mixed fraction time to an improper fraction

1121 \frac{1}{2} hours is equal to 32\frac{3}{2} hours.

Step 2: Find the speed of the car

The speed is calculated by: Speed=DistanceTime=45 km32 hours=45×23=30 km/h\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{45 \text{ km}}{\frac{3}{2} \text{ hours}} = 45 \times \frac{2}{3} = 30 \text{ km/h}

Step 3: Find the distance traveled in one hour

Since the speed is 30 km/h, the car will travel 30 km in one hour.

Would you like further clarification or any additional information?

Here are some related questions you can explore:

  1. How would the calculation change if the car traveled 90 km in 2122 \frac{1}{2} hours?
  2. How do you calculate average speed when the total distance and time are given?
  3. What is the formula to calculate speed, distance, or time?
  4. How can we calculate the time it takes to travel a specific distance at a given speed?
  5. How can you convert time in mixed fractions to improper fractions for mathematical operations?

Tip: When dealing with time and speed problems, always ensure your time is in a consistent unit (either in hours, minutes, etc.), and be comfortable converting mixed fractions to improper ones to simplify your calculations.

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Math Problem Analysis

Mathematical Concepts

Speed
Distance
Time
Fractions

Formulas

Speed = Distance / Time
Distance = Speed × Time

Theorems

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Suitable Grade Level

Grades 5-7