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  • 23-08-2018
  • Mathematics
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harold walks 3/4 miles in each 5/6 hours calculate Harold's unit rate

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sqdancefan
sqdancefan sqdancefan
  • 23-08-2018

A unit rate is a ratio. Here, the rate of interest is Harold's speed, found by dividing the distance Harold walked by the time it took him to do it.

[tex]\text{speed}=\dfrac{\text{distance}}{\text{time}}=\displaystyle\frac{\left(\frac{3}{4}\right)\,\text{miles}}{\left(\frac{5}{6}\right)\,\text{hours}}\\\\=\frac{3}{4}\cdot\frac{6}{5}\,\frac{\text{miles}}{\text{hour}}=\frac{3\cdot 6}{4\cdot 5}\,\frac{\text{miles}}{\text{hour}}\\\\=\frac{9}{10}\,\frac{\text{miles}}{\text{hour}}[/tex]

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