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. Find his average speed in kilometers per hour.

Answer 1

38/3

Explanation:

Answer 2

`Speed = (38)/(3)km/hr`

Explanation:

Given

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

`Time = (1)/(4)hr`

Required

Determine the average speed

Average speed is calculated as thus;

`Speed = (Distance)/(Time)`

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

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

Convert Mixed Fraction to Improper fraction

`Speed = (19)/(6) * (4)/(1)`

`Speed = (19 * 4)/(6 * 1)`

`Speed = (76)/(6)`

Divide both sides of the fraction by 2

`Speed = (38)/(3)`

Hence:

The speed is:

`Speed = (38)/(3)km/hr`