Question

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.

Answer 1

`2(8)/(15)`

Explanation:

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

As we know that

`Speed = (Distance)/(Time)`

So, the average speed is

`= 3(1)/(6) / 1(1)/(4)`

Now we will convert into a mixed number i.e

`3(1)/(6) = (19)/(6) \\\\ 1(1)/(4) = (5)/(4)\\\\ = (19)/(6) /(5)/(4)\\\\ = (19)/(6) * (4)/(5)`

Now the cross cancel common factor is 2

So,

`= (19)/(2)* (2)/(5) \\\\ = (38)/(15) \\\\ = 2(8)/(15)`

hence, the average speed is
`2(8)/(15)` in kilometers per hour

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