To find the estimated time it would take for the spaceship to reach Mars, we can use the proportion based on the distance comparison between the moon and Mars:
Moon distance: 386,400 km
Mars distance: 140 times farther than the moon
So, Mars distance = 386,400 km * 140 = 54,096,000 km
Now, we can set up a proportion to find the time it would take to reach Mars:
Moon travel time: 3 days
Mars travel time: x days
Moon distance: 386,400 km
Mars distance: 54,096,000 km
The proportion is:
3 days / 386,400 km = x days / 54,096,000 km
Cross-multiplying and solving for x:
386,400 km * x days = 3 days * 54,096,000 km
386,400x = 162,288,000 days
x ≈ 162,288,000 days / 386,400
x ≈ 420.51 days
Therefore, it would take approximately 420.51 days (or about 1 year and 55.5 days) for the same spaceship to reach Mars. Therefore, the closest answer choice is about 1 year.
A human-operated spaceship reaches the moon in 3 days. The moon is about 386,400 km from Earth. Mars, our closest planetary neighbor, is, at its closest, about 140 times farther 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?(1 point)
about 7.5 years
about 1 year
about 2.5 years
about 22.5 years
1 answer