Question
A toy car drives drives 300 meters in 6 minutes.
1. Driving at the same speed, how many hours will it take the toy car to drive 15 000 meters?
2. What is the speed of the toy car to km per hour?
1. Driving at the same speed, how many hours will it take the toy car to drive 15 000 meters?
2. What is the speed of the toy car to km per hour?
Answers
GPT-4o mini
To solve the problems, we first need to determine the speed of the toy car based on the distance it drives.
1. **Finding the speed of the toy car:**
The toy car drives 300 meters in 6 minutes. To find the speed in meters per minute, we can use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ meters}}{6 \text{ minutes}} = 50 \text{ meters per minute}
\]
Now, we want to find out how long it will take the toy car to drive 15,000 meters at the same speed. We can use the time formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{15,000 \text{ meters}}{50 \text{ meters per minute}} = 300 \text{ minutes}
\]
To convert minutes to hours, we divide by 60:
\[
\text{Time in hours} = \frac{300 \text{ minutes}}{60} = 5 \text{ hours}
\]
So, **it will take the toy car 5 hours to drive 15,000 meters.**
2. **Finding the speed of the toy car in kilometers per hour:**
We already calculated that the speed is 50 meters per minute. To convert this speed into kilometers per hour, we perform the following steps:
- First, convert meters to kilometers: \(50 \text{ meters} = \frac{50}{1000} = 0.05 \text{ kilometers}\).
- Then, since there are 60 minutes in an hour, multiply by 60 to convert minutes to hours:
\[
\text{Speed in km/h} = 0.05 \text{ km/min} \times 60 \text{ min/h} = 3 \text{ km/h}
\]
So, **the speed of the toy car is 3 kilometers per hour.**
In summary:
1. 5 hours to drive 15,000 meters.
2. The speed is 3 kilometers per hour.
1. **Finding the speed of the toy car:**
The toy car drives 300 meters in 6 minutes. To find the speed in meters per minute, we can use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ meters}}{6 \text{ minutes}} = 50 \text{ meters per minute}
\]
Now, we want to find out how long it will take the toy car to drive 15,000 meters at the same speed. We can use the time formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{15,000 \text{ meters}}{50 \text{ meters per minute}} = 300 \text{ minutes}
\]
To convert minutes to hours, we divide by 60:
\[
\text{Time in hours} = \frac{300 \text{ minutes}}{60} = 5 \text{ hours}
\]
So, **it will take the toy car 5 hours to drive 15,000 meters.**
2. **Finding the speed of the toy car in kilometers per hour:**
We already calculated that the speed is 50 meters per minute. To convert this speed into kilometers per hour, we perform the following steps:
- First, convert meters to kilometers: \(50 \text{ meters} = \frac{50}{1000} = 0.05 \text{ kilometers}\).
- Then, since there are 60 minutes in an hour, multiply by 60 to convert minutes to hours:
\[
\text{Speed in km/h} = 0.05 \text{ km/min} \times 60 \text{ min/h} = 3 \text{ km/h}
\]
So, **the speed of the toy car is 3 kilometers per hour.**
In summary:
1. 5 hours to drive 15,000 meters.
2. The speed is 3 kilometers per hour.
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