Question

The distance from the earth to Pluto is 4.67x10^9 mi, If a new flying machine can travel 1.92x10^5 miles per year, how many years would it take to reach Pluto? Write your answer in standard form, rounded to the nearest year.

Answer 1

24333 years

Step-by-step explanation

to solve this we need to use the time formula ,it says

`time=(distance)/(speed)`

Step 1

a)given

`\begin{gathered} distance=4.67*10^9\text{ miles} \\ speed=1.92*10^5\text{ }(miles)/(year) \end{gathered}`

b) now, replace in the formula and calculate

`\begin{gathered} time=(distance)/(speed) \\ time=(4.67*10^9)/(1.92*10^5)=2.43*10^(9-5)=2.43*10^4 \\ time=2.43*10^4\approx24333\text{ years} \end{gathered}`

therefore, the answer is

24333 years

I hope this helps you