Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, space, k, m 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.

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:

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