Question

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

Answer 1

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 2

Speed of Victoria,
`v=32(1)/(4)\ miles/hour`

Explanation:

It is given that,

Distance covered by Victoria,
`d=21(1)/(2)\ miles=(43)/(2)\ miles`

Time taken,
`t=(2)/(3)\ hour`

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

`v=(d)/(t)`

`v=((43)/(2)\ miles)/((2)/(3)\ hour)`

`v=(129)/(4)\ miles/hour`

or

`v=32(1)/(4)\ miles/hour`

So, the speed of Victoria is
`32(1)/(4)\ miles/hour`. Hence, this is the required solution.