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A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 47 Minutes ? In 1 hour ?The car will travel ( blank) miles in 47 minutes (Simplify your answer. Type an integer, proper fraction, or mixed number.)

Sagot :

1 1/2 miles ---> 2 1/4 minutes

x miles -------> 47 minutes

[tex]\begin{gathered} x\times2\frac{1}{4}=1\frac{1}{2}\times47 \\ x\times\frac{9}{4}=\frac{3}{2}\times47 \\ \frac{9}{4}x=70.5 \\ \frac{9}{4}x\times\frac{4}{9}=70.5\times\frac{4}{9} \\ x=\frac{94}{3}=31\frac{1}{3} \end{gathered}[/tex]

answer: 31 1/3 miles in 47 minutes

for 1 hour = 60 minutes

[tex]\begin{gathered} \frac{9}{4}x=\frac{3}{2}\times60 \\ \frac{9}{4}x=90 \\ \frac{9}{4}x\times\frac{4}{9}=90\times\frac{4}{9} \\ x=40 \end{gathered}[/tex]

answer: 40 miles in 1 hour

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