Type the correct answer in each box. Use numerals instead of words.
A race car is driven by a professional driver at 99 miles per hour. What is this speed in $\frac{\text { kilometers }}{\text { hour }}$ and $\frac{\text { kilometers }}{\text { minute }}$ ?
1 mile = 1.61 kilometers
1 hour = 60 minutes
Round your answers to the nearest tenth.
The speed is equivalent to $\square$ $\frac{\text { kilometers }}{\text { hour }}$, or $\square$ kilometers per minute
Answer (2)
Convert miles per hour to kilometers per hour: multiply 99 miles/hour by 1.61 km/mile to get 159.39 km/hour.
Round 159.39 km/hour to the nearest tenth, resulting in 159.4 km/hour.
Convert kilometers per hour to kilometers per minute: divide 159.39 km/hour by 60 minutes/hour to get 2.6565 km/minute.
Round 2.6565 km/minute to the nearest tenth, resulting in 2.7 km/minute. The speed is equivalent to 159.4 h o u r ki l o m e t ers , or 2.7 min u t e ki l o m e t ers .
Explanation
Problem Setup and Given Information We are given that a race car is driven at 99 miles per hour. We need to convert this speed into kilometers per hour and kilometers per minute. We are also given the conversion factors: 1 mile = 1.61 kilometers and 1 hour = 60 minutes.
Converting to Kilometers per Hour First, let's convert the speed from miles per hour to kilometers per hour. To do this, we multiply the speed in miles per hour by the conversion factor 1.61 kilometers per mile: s p ee d km / h = s p ee d m p h × 1.61 s p ee d km / h = 99 × 1.61 = 159.39 Rounding this to the nearest tenth, we get 159.4 kilometers per hour.
Converting to Kilometers per Minute Next, let's convert the speed from kilometers per hour to kilometers per minute. To do this, we divide the speed in kilometers per hour by 60 minutes per hour: s p ee d km / min = 60 s p ee d km / h s p ee d km / min = 60 159.39 = 2.6565 Rounding this to the nearest tenth, we get 2.7 kilometers per minute.
Final Answer Therefore, the speed of the race car is approximately 159.4 kilometers per hour and approximately 2.7 kilometers per minute.
Examples
Understanding unit conversions is crucial in many real-world scenarios. For instance, when planning a trip to a foreign country, you might need to convert distances from miles to kilometers to understand road signs and maps. Similarly, in sports, race distances are often given in different units, requiring conversion for comparison. In science and engineering, converting units is a fundamental skill for calculations and measurements. Knowing how to convert between different units allows for effective communication and problem-solving in various fields.
The race car traveling at 99 miles per hour is equivalent to approximately 159.4 kilometers per hour and 2.7 kilometers per minute after conversion. These conversions were made using the conversion factors of 1 mile being equal to 1.61 kilometers and 1 hour being 60 minutes. Rounding was applied to both results to give the nearest tenth.
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