Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.

Respuesta :

Answer:

[tex]2\frac{8}{15}[/tex]

Step-by-step explanation:

The calculation of average speed in kilometres per hour is shown below:-

As we know that

[tex]Speed = \frac{Distance}{Time}[/tex]

So, the average speed is

[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]

Now we will convert into a mixed number i.e

[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]

Now the cross cancel common factor is 2

So,

[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]

hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour

Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour