Respuesta :
Answer:
Then, the object will take 29.11 min to travel [tex]4\frac{9}{10}miles[/tex]
Step-by-step explanation:
When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:
[tex]time=\frac{distance}{speed}[/tex] (equation 1)
In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:
[tex]speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10} \frac{mi}{h}[/tex]
[tex]distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi[/tex]
So, now we can calculate the time using the equation 1:
[tex]time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h[/tex]
[tex]time=\frac{49}{101}h=0.49h[/tex]
And, if we want the result in minutes:
[tex]time=\frac{49}{101}h*\frac{60min}{1h} =29.11min[/tex]
Then, the object will take 29.11 min to travel [tex]4\frac{9}{10}miles[/tex]
