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A car covers 150 km in 3 hours. How much...

A car covers 150 km in 3 hours. How much distance would the car cover in 12 minutes?

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To solve the problem step by step, we can follow these instructions: ### Step 1: Determine the distance covered in 1 hour. The car covers 150 kilometers in 3 hours. To find out how much distance it covers in 1 hour, we divide the total distance by the total time in hours. \[ \text{Distance in 1 hour} = \frac{150 \text{ km}}{3 \text{ hours}} = 50 \text{ km} \] ### Step 2: Convert 12 minutes into hours. Since we need to find out how far the car travels in 12 minutes, we first convert 12 minutes into hours. There are 60 minutes in an hour, so: \[ \text{Time in hours} = \frac{12 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{1}{5} \text{ hours} \] ### Step 3: Calculate the distance covered in 12 minutes. Now that we know the car covers 50 kilometers in 1 hour, we can find out how much distance it covers in \(\frac{1}{5}\) of an hour (which is 12 minutes). \[ \text{Distance in 12 minutes} = 50 \text{ km/hour} \times \frac{1}{5} \text{ hours} = 10 \text{ km} \] ### Final Answer: The car covers **10 kilometers** in 12 minutes. ---
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