Question

Harvey the wonder hamster can run

316 km3\dfrac16 \text{ km}
3
6

1
​

km
3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text
in
14\dfrac14
4

1
​

start fraction, 1, divided by, 4, end fraction
hour. Harvey runs at a constant rate.
Find his average speed in kilometers per hour.

Answer 1

Explanation:

distance run by harvey = 3(1/6) km

time for race = 1/4 hr

average speed = distance (km)/time(hr)

average speed = 3(1/6)/(1/4)

=(19/6) / (1/4)

= 19/6 x 4

= 38/3

= 12.7km/hr

Answer 2

`(38km)/(3hr)`

Or, as a mixed number

`12(2)/(3)km/hr`

Explanation:

The question is

Harvey runs 3 1/6 km in 1/4 hours. What's his average speed in km per hour?

To find the average speed in km per hour, we have to divide the kilometers by the hours. However, we first need to transform each mixed number into a fraction, as follows

`3(1)/(6)km=(19)/(6)km`

`(1)/(4)hr`

Then, we divide

`(19)/(6)km / (1)/(4) hr\\(19)/(6)km * (4)/(1hr)\\(76km)/(6hr)= (38km)/(3hr)`

Therefore, the average speed in kilometers per hour is

`(38km)/(3hr)`

Or, as a mixed number

`12(2)/(3)km/hr`