A car is traveling at a speed of 110 kilometers per hour. What is the car’s speed in miles per hour? How many miles will the car travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
The correct answer and explanation is:
To convert the speed from kilometers per hour (km/h) to miles per hour (mph), we use the conversion factor that 1 mile is equal to 1.6 kilometers. This means that to convert from kilometers to miles, you divide the speed in kilometers per hour by 1.6.
Step 1: Convert the speed from kilometers per hour to miles per hour
The car is traveling at 110 kilometers per hour. To convert this to miles per hour: Speed in mph=Speed in km/h1.6=1101.6=68.75 mph\text{Speed in mph} = \frac{\text{Speed in km/h}}{1.6} = \frac{110}{1.6} = 68.75 \, \text{mph}
So, the car is traveling at 68.75 miles per hour.
Step 2: Calculate how many miles the car will travel in 5 hours
Now, to find out how many miles the car will travel in 5 hours, multiply the speed in miles per hour by the time in hours. Distance traveled=Speed in mph×Time in hours=68.75 mph×5 hours=343.75 miles\text{Distance traveled} = \text{Speed in mph} \times \text{Time in hours} = 68.75 \, \text{mph} \times 5 \, \text{hours} = 343.75 \, \text{miles}
So, the car will travel 343.75 miles in 5 hours.
Explanation:
To summarize, the car’s speed of 110 kilometers per hour is equivalent to 68.75 miles per hour when converted using the factor of 1 mile = 1.6 kilometers. Using this speed, the car will cover a distance of 343.75 miles in 5 hours. These calculations assume that the conversion factor of 1 mile = 1.6 kilometers is accurate, and no rounding is applied to the final result, ensuring precise answers.