Answer:
1)1.44 x 10^6 km.
2)400 days
Step-by-step explanation:
(i) To find the distance traveled by the rocket in 12 days, we can use the concept of average speed. Since the rocket is traveling at a constant speed, we can assume it covers the same distance each day.
In 4 days, the rocket traveled from Planet P to the moon, a distance of 4.8 x 10^5 km. This means that in 1 day, the rocket traveled 4.8 x 10^5 km / 4 = 1.2 x 10^5 km.
To find the distance traveled in 12 days, we can multiply the distance traveled in 1 day by 12:
1.2 x 10^5 km * 12 = 1.44 x 10^6 km.
Therefore, the distance traveled by the rocket in 12 days is 1.44 x 10^6 km.
(ii) To find the time taken for the journey from Planet P to Venus, we can use the concept of average speed again. Since the rocket is traveling at a constant speed, we can assume it covers the same distance each day.
The distance between Planet P and Venus is 4.8 x 10^7 km. If the rocket covers this distance in a certain number of days, we can find the average speed by dividing the total distance by the number of days.
Let's assume the time taken for the journey is t days. We can set up the following equation:
Average speed = Total distance / Time taken
The average speed is the distance traveled in 1 day, which we found in part (i): 1.2 x 10^5 km.
Plugging in the values into the equation, we get:
1.2 x 10^5 km = 4.8 x 10^7 km / t
To solve for t, we can cross multiply and then divide:
1.2 x 10^5 km * t = 4.8 x 10^7 km
t = (4.8 x 10^7 km) / (1.2 x 10^5 km)
t = 4.8 x 10^7 km / 1.2 x 10^5 km
Simplifying the division, we get:
t = 400 days
Therefore, the time taken for the journey from Planet P to Venus is 400 days.