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The distance from the Earth to Pluto is 4.67 x 10^9 miles. If a new flying machine can travel 1.92 x 10^5 miles per year, how many years would it take to reach Pluto?

Respuesta :

Answer:

24323

Step-by-step explanation:

Lanuel

It would take 24322.92 years to reach Pluto from Earth.

Given the following data;

  • Distance from the Earth to Pluto =  [tex]4.67[/tex] × [tex]10^{9}[/tex] miles
  • Speed = [tex]1.92[/tex] × [tex]10^{5}[/tex]  miles per year

To find how many years (time) it would take to reach Pluto;

Speed can be defined as the distance covered by an object per unit time. It is a scalar quantity and as such as magnitude but no direction.

Mathematically, the speed of an object is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Making time the subject of formula, we have;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting the values into formula, we have;

[tex]Time = \frac{4.67 \;x \;10^{9}}{1.92 \;x \;10^{5}}[/tex]

[tex]Time = \frac{4.67 \; X \; 10^{4}}{1.92}[/tex]

Time = 24322.92 years

Therefore, it would take 24322.92 years to reach Pluto.

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