Question

Anna hiked 95⁄8 miles in 23⁄4 hours. How fast did she walk overall? A. 31⁄4 miles per hour B. 35⁄8 miles per hour C. 31⁄2 miles per hour D. 31⁄3 miles per hour

Answer 1

Answer:

C

Step-by-step explanation:

We have the distance Anna walks, which is 9 5/8 miles and the time she takes to walk that far is 2 3/4 hours. Velocity is defined as distance over time:

$V=d/t$

Therefore we can calcuate her velocity which is speed. We change the numbers to fractions

[tex]V=(77/8)/(11/4)=(77/8)*(4/11)=77/22[/te]

77/22 is 3 1/2 so the answer is C

Answer 2

Answer:

C. 3 1/2 miles per hour

Step-by-step explanation:

I just converted the fractions to decimal form.

5/8 = 0.625           9 + 0.625   = 9.625

3/4 = 0.75             2 + 0.75     = 2.75

Now divide the 2 numbers:

9.625 / 2.75 = 3.5

Finally, convert the decimal back to a fraction:

3.5 = 3 1/2

Hope this helps!