Question

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

Answer 1

hello

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

`(3)/(4)=0.75`

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

`18mi=3h`

x miles will be convered in 0.75hr

`x=0.75h`

let's equate both equations and solve for x

`\begin{gathered} 18mi=3h \\ x=0.75 \end{gathered}`

cross multiply both sides and solve for x

`\begin{gathered} x*3=18*0.75 \\ 3x=13.5 \\ \end{gathered}`

divide both sides by coefficient of x

`\begin{gathered} (3x)/(3)=(13.5)/(3) \\ x=4.5mi \end{gathered}`

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

the answer is option B