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A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the hot air balloon travel in 3/4 hour?
4.5 miles
6 miles
11.5 miles
13.5 miles


Sagot :

hello

to solve this question easily, let's convert 3/4 to decimals

[tex]\frac{3}{4}=0.75[/tex]

so, from the question, 18 miles can be convered in 3 hours i.e

[tex]18mi=3h[/tex]

x miles will be convered in 0.75hr

[tex]x=0.75h[/tex]

let's equate both equations and solve for x

[tex]\begin{gathered} 18mi=3h \\ x=0.75 \end{gathered}[/tex]

cross multiply both sides and solve for x

[tex]\begin{gathered} x\times3=18\times0.75 \\ 3x=13.5 \\ \end{gathered}[/tex]

divide both sides by coefficient of x

[tex]\begin{gathered} \frac{3x}{3}=\frac{13.5}{3} \\ x=4.5mi \end{gathered}[/tex]

from the calculations above, 4.5 miles will be covered in 3/4 hours

the answer is option B

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