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5 maría walks 1,500 meters in \\(\\frac{1}{4}\\) hour. what is her spee…

Question

5
maría walks 1,500 meters in \\(\frac{1}{4}\\) hour.

what is her speed in kilometers per hour? use 1 kilometer = 1,000 meters.

a. 6,000 kilometers per hour
b. 375 kilometers per hour
c. 6 kilometers per hour
d. 0.375 kilometers per hour

Explanation:

Step1: Convert meters to kilometers

Since \(1\) kilometer \( = 1000\) meters, to convert \(1500\) meters to kilometers, we divide by \(1000\). So, \(1500\) meters \(=\frac{1500}{1000}\) kilometers \( = 1.5\) kilometers.

Step2: Calculate speed

Speed is given by the formula \( \text{speed}=\frac{\text{distance}}{\text{time}} \). The distance is \(1.5\) kilometers and the time is \(\frac{1}{4}\) hour. So, speed \(=\frac{1.5}{\frac{1}{4}}\). When dividing by a fraction, we multiply by its reciprocal, so \(\frac{1.5}{\frac{1}{4}}=1.5\times4 = 6\) kilometers per hour.

Answer:

C. 6 kilometers per hour