To convert mph to km/h, multiply by 1.6 calculate in km/h the speed of a train traveling 75 mph?
The Correct Answer and Explanation is:
To convert 75 mph to km/h, we use the given conversion factor:
1 mph = 1.6 km/h.
Now, multiply the speed of the train in miles per hour (mph) by the conversion factor:75 mph×1.6 km/h per mph=120 km/h75 \, \text{mph} \times 1.6 \, \text{km/h per mph} = 120 \, \text{km/h}75mph×1.6km/h per mph=120km/h
Thus, the train is traveling at 120 km/h.
Explanation:
When converting units, we need to apply the appropriate conversion factor to ensure that the units change correctly. In this case, the given conversion factor tells us that for every 1 mile traveled, the equivalent distance in kilometers is 1.6 km. This factor is based on the fact that there are approximately 1.609 kilometers in a mile, and it has been simplified to 1.6 for easier calculations.
To convert from miles per hour (mph) to kilometers per hour (km/h), we multiply the speed in miles per hour by the conversion factor (1.6). This ensures that the speed is now in the correct unit of kilometers per hour, which is commonly used in most countries around the world, except the U.S.
In this case, since the train’s speed is 75 mph, multiplying by 1.6 gives us a speed of 120 km/h. This conversion is simple yet vital, as it enables the comparison of speeds internationally, where kilometers are the standard for measuring distance and speed.
Thus, the train traveling at 75 mph is moving at 120 km/h when converted to the metric system.
