The Correct Answer and Explanation is:
The correct answer is 156.25 miles per hour.
Explanation:
This problem requires the conversion of a speed from one unit of measurement, kilometers per hour (km/h), to another, miles per hour (mph). The process relies on using a conversion factor to change the units without altering the actual value of the speed.
The key piece of information provided is the hint: 1 mile per hour is equal to 1.6 kilometers per hour. This tells us the direct relationship between the two units. From this, we can understand that a mile is a longer unit of distance than a kilometer. Consequently, when converting a specific distance from kilometers to miles, the resulting number should be smaller. The same logic applies to speeds measured in these units per hour.
To find out how many miles per hour are equivalent to 250 kilometers per hour, we need to determine how many groups of 1.6 km/h fit into 250 km/h. This is a division problem. We must divide the original speed in kilometers per hour by the conversion factor of 1.6.
The calculation is performed as follows:
Speed in mph = (Speed in km/h) / (Conversion factor)
Speed in mph = 250 / 1.6
To solve this, we can remove the decimal by multiplying both the numerator and the denominator by 10, which gives us 2500 divided by 16.
2500 ÷ 16 = 156.25
Therefore, a speed of 250 kilometers per hour is equivalent to 156.25 miles per hour. The division results in a smaller number, which aligns with our initial understanding that we are converting to a larger unit of measurement. The calculation correctly applies the given conversion rate to find the equivalent speed in the desired units.
