Answer:
6 months
Explanation:
Given:
Distance of Neptune from Earth (D) = 29 AU
Speed of Neptune (s) = [tex]1\times 10^6\ km/hr[/tex]
Time to take Neptune to reach Earth (T) = ?
First, we have to convert distance to km.
We know that, 1 AU = [tex]1.496\times 10^8\ km[/tex]
So, 29 AU = [tex]29\times 1.496\times 10^ 8\ km=43.384\times 10^8\ km[/tex]
Now, we know that time taken is given as the ratio of distance covered and speed of the object.
So, time taken by Neptune is given as:
[tex]T=\frac{D}{s}\\\\T=\frac{43.384\times 10^8\ km}{1\times 10^6\ km/hr}\\\\T=4338.4\ hr[/tex]
Now, converting hours to months.
Consider a month to be of 30 days.
So, 1 day = 24 hours
∴ 30 days = 24 × 30 = 720 hours
Now, 720 hours = 1 month
∴ 1 hour = [tex]\frac{1}{720}\ months[/tex]
Hence, 4338.4 hours is equivalent to = [tex]\frac{1}{720}\times 4338.4\approx 6\ months[/tex]
So, it will take nearly 6 months for Neptune to reach Earth.
