How much time will Alex need to walk to his school, which is 2 1 /4 miles away from his house, if he would walk with the speed of 3 3/4mph

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08-10-2017
Mathematics

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How much time will Alex need to walk to his school, which is 2 1 /4 miles away from his house, if he would walk with the speed of 3 3/4mph

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jdoe0001 jdoe0001 · Answer 1 · 2017-10-08T01:35:07+02:00

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\qquad \qquad 2\frac{1}{4}m=3\frac{3}{4}\frac{m}{hr}\cdot t\implies \cfrac{2\frac{1}{4}m}{3\frac{3}{4}\frac{m}{hr}}=t \\\\\\ \cfrac{\frac{9}{4}m}{\frac{15}{4}\frac{m}{hr}}=t\implies \cfrac{9\underline{m}}{4}\cdot \cfrac{4hr}{15\underline{m}}=t\implies \cfrac{9\cdot 4}{4\cdot 15}hr=t\implies \cfrac{3}{5}hr=t[/tex]

so, 36 minutes then.