To solve the problems, we first need to determine the speed of the toy car based on the distance it drives.
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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.
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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:
- 5 hours to drive 15,000 meters.
- The speed is 3 kilometers per hour.
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