Respuesta :
Given the distance the wonder hamster run = 3 1/6 km.
Time in hours = 1 1/4 hours.
We need to find the average speed of Harvey in kilometers per hour.
We know speed formula
Speed = distance/time.
Plugging value of distance and time in above formula, we get
Average speed = 3 1/6 ÷ 1 1/4
[tex]=3\frac{1}{6}\div \:1\frac{1}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{1}{6}=\frac{19}{6}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{1}{4}=\frac{5}{4}[/tex]
[tex]=\frac{19}{6}\div \frac{5}{4}[/tex]
[tex]=\frac{19}{6}\times \frac{4}{5}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]
[tex]=\frac{19}{3}\times \frac{2}{5}[/tex]
[tex]=\frac{38}{15}[/tex]
[tex]=2\frac{8}{15}[/tex]
Therefore, average speed of Harvey is [tex]2\frac{8}{15}[/tex] kilometers per hour.
Answer:
The answer is 38/3.
Step-by-step explanation:
Correct answer on khan academy.