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 (1)/(6): (1)/(4)= (19)/(6)* (4)/(1)= (38)/(3)= 12 (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=(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(1)/(6) km =(19)/(6) km.` as an equivalent fraction.

The time taken for the journey is

`t=(1)/(4) hour.`.

The avarage is speed is then,

`v=(d)/(t)`

`v=((19/6)km)/((1/4)h) =(19* 4 km)/(6* 1h) =(38km)/(3h) = 12.67km/h.`