Answer:
The time taken in years is [tex]x = 125 \ years[/tex]
Explanation:
From the question we are told that
The speed is [tex]v = 540.00 \ km /hr = \frac{540 *1000}{3600} = 150\ m/s[/tex]
The distance from the sun to Pluto is [tex]d = 5.9*10^{9} \ k m = 5.9*10^9 * 1000 = 5.9*10^{12} \ m[/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{d}{v}[/tex]
=> [tex]t = \frac{5.9*10^{11}}{150}[/tex]
=> [tex]t = 3.933*10^{9}[/tex]
Converting to years
[tex]1 year \to 3.154*10^7 \ s[/tex]
[tex]x \ years \to 3.933*10^{9}[/tex]
=> [tex]x = \frac{ 3.933*10^{9} * 1 }{ 3.154 *10^7}[/tex]
=> [tex]x = 125 \ years[/tex]