A human- operated spaceship reaches the moon in 3 days. the moon is about 386400 Km from earth mars our closest planetary neighbored is at its closest about 140 times father away from us than the moon if mars stays in place assuming a very simple model of the solar system about how long would it take that same spaceship to reach mars a. about 2.5 years b. 1 about 1 year c. about 7.5 years d. about 22.5 years

1 answer

To calculate the approximate time it would take for the spaceship to reach Mars, we can use the proportion between the distances.

The distance to the Moon is given as 386,400 km, and Mars is 140 times farther away. Therefore, the distance to Mars would be:

Distance to Mars = Distance to Moon * 140
Distance to Mars = 386,400 km * 140 = 54,096,000 km

Now, since we know that the spaceship took 3 days to reach the Moon, we can set up a proportion to calculate the time it would take to reach Mars.

(Time to reach Mars) / (Time to reach Moon) = (Distance to Mars) / (Distance to Moon)

Let "x" represent the time to reach Mars.

(x) / (3) = (54,096,000) / (386,400)
x = (3 * 54,096,000) / (386,400)
x = 420

Therefore, it would take approximately 420 days to reach Mars.

The closest answer choice is option B: about 1 year.