A train travels 3 km per minute. What is the train's speed in miles per hour? There are about 1.6 kilometers in 1 mile

1 answer

To convert the train's speed from kilometers per minute to miles per hour, we can follow these steps:

  1. Convert kilometers to miles:
    We know that 1 mile is approximately 1.6 kilometers. Thus, to convert 3 kilometers to miles, we divide by 1.6: \[ \text{Speed in miles per minute} = \frac{3 \text{ km}}{1.6 \text{ km/mile}} \approx 1.875 \text{ miles per minute} \]

  2. Convert minutes to hours:
    Since there are 60 minutes in an hour, we multiply the speed in miles per minute by 60 to get the speed in miles per hour: \[ \text{Speed in miles per hour} = 1.875 \text{ miles/minute} \times 60 \text{ minutes/hour} \approx 112.5 \text{ miles/hour} \]

Thus, the train's speed is approximately 112.5 miles per hour.