Victoria drove 211⁄2 miles in 2⁄3 of an hour. What was her speed?      A.) 32 1/2 miles per hour B.) 32 1/3 miles per hour C.) 32 3/4 miles per hour D.) 32 1/4 miles per hour

Respuesta :

change each to improper fractions

21 1/2 = (2*21 +1)/2 = 43/2

2/3 = 2/3

43/2  divided by 2/3    

copy dot flip

43/2 * 3/2

129/4 = 32 1/4

Answer:

Speed of Victoria, [tex]v=32\dfrac{1}{4}\ miles/hour[/tex]

Step-by-step explanation:

It is given that,

Distance covered by Victoria, [tex]d=21\dfrac{1}{2}\ miles=\dfrac{43}{2}\ miles[/tex]

Time taken, [tex]t=\dfrac{2}{3}\ hour[/tex]          

Speed (v) of Victoria is given by total distance divided by total time taken. It is given by :

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{\dfrac{43}{2}\ miles}{\dfrac{2}{3}\ hour}[/tex]

[tex]v=\dfrac{129}{4}\ miles/hour[/tex]

or

[tex]v=32\dfrac{1}{4}\ miles/hour[/tex]

So, the speed of Victoria is [tex]32\dfrac{1}{4}\ miles/hour[/tex]. Hence, this is the required solution.