QQuestionMathematics
QuestionMathematics
A speed limit of 45 mph is equivalent to 72 km/h. A sign says the speed limit is 90 km/h. What is the speed limit in miles per hour?
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the given information
- Current speed limit: $$90 \text{ km/h}
- Conversion rate: 45 \text{ mph} = 72 \text{ km/h}
Step 3:: Set up the conversion proportion
\frac{45 \text{ mph}}{72 \text{ km/h}} = \frac{x \text{ mph}}{90 \text{ km/h}}
We can set up a proportion to convert kilometers per hour to miles per hour:
Step 4:: Cross multiply to solve for x
45 \times 90 = 72x
4,050 = 72x
Step 5:: Solve for x by dividing
x = \frac{4,050}{72}
x = 56.25
Final Answer
The speed limit of 90 \text{ km/h} is equivalent to 56.25 \text{ mph}.
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