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QuestionMathematics

A speed of 150 km/hr is equivalent to how many miles per hour?
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Answer

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Step 1:
: Recall the conversion factor between kilometers and miles.

\frac{1~\text{mile}}{1.60934~\text{km}} \tag{1}
The conversion factor is 1 mile = 1.60934 kilometers. We can write this as a fraction:

Step 2:
: Set up the conversion equation.

150~\frac{\text{km}}{\text{hr}} imes \frac{1~\text{mile}}{1.60934~\text{km}} \tag{2}
To convert 150 km/hr to miles per hour, we multiply the speed in kilometers per hour by the conversion factor:

Step 3:
: Cancel units and perform the calculation.

150~\cancel{\text{km}} imes \frac{1~\text{mile}}{1.60934~\cancel{\text{km}}} = 93.2057~\text{miles per hour} \tag{3}
In the equation above, the "km" units cancel out, leaving us with miles per hour:

Final Answer

A speed of 150 km/hr is equivalent to approximately 93.2057 miles per hour.