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. 60 minutes = 1 hour Responses 288 miles per hour 288 miles per hour - no response given 180 miles per hour 180 miles per hour - no response given 112.5 miles per hour 112.5 miles per hour - no response given 84 miles per hour

Answer 1

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

1. Convert kilometers to miles. Since there are about 1.6 kilometers in 1 mile, we can find the miles by dividing the kilometers by 1.6: \[ \text{Speed in miles per minute} = \frac{3 \text{ km/min}}{1.6 \text{ km/mile}} \approx 1.875 \text{ miles/min} \]

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

Therefore, the speed of the train is 112.5 miles per hour.