Question

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour

Answer 1

$3 \frac{1}{6}: \frac{1}{4}= \frac{19}{6}* \frac{4}{1}= \frac{38}{3}= 12 \frac{2}{3}$

his average speed is 12 2/3 kilometers per hour

Answer 2

The average speed of an object is computed as follows,

$v=\frac{d}{t}$ , where $d$ is the distance covered in the time interval of interest and  $t$  is the time taken  to cover the distance.

In this problem, the distance covered is

$d= 3\frac{1}{6} km =\frac{19}{6} km.$ as an equivalent fraction.

The time taken for the journey is

$t=\frac{1}{4} hour.$.

The avarage is speed is then,

$v=\frac{d}{t}$

$v=\frac{(19/6)km}{(1/4)h} =\frac{19\times 4 km}{6\times 1h} =\frac{38km}{3h} = 12.67km/h.$