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 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?

3 answers

If the spaceship reaches the moon, which is approximately 386,400 km away from Earth, in 3 days, we can find the average speed of the spaceship by dividing the distance by the time.

Average speed to reach the moon = Distance / Time = 386,400 km / 3 days = 128,800 km/day

Since Mars is about 140 times farther away from Earth than the moon, we can calculate the distance to Mars.

Distance to Mars = Distance to the moon + 140 * Distance to the moon = 386,400 km + 140 * 386,400 km

Distance to Mars = 386,400 km + 54,096,000 km = 54,482,400 km

Now, let's use the average speed to find how long it would take to reach Mars.

Time to reach Mars = Distance to Mars / Average speed

Time to reach Mars = 54,482,400 km / 128,800 km/day

Time to reach Mars ≈ 423.27 days

Therefore, it would take approximately 423.27 days for the spaceship to reach Mars, assuming a very simple model of the solar system where all bodies remain stationary.
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 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?
about 22.5 years
7.5 years
2.5 years
1 year
If the spaceship reaches the moon in 3 days, which is approximately 386,400 km away from Earth, we can calculate the average speed of the spaceship by dividing the distance by the time.

Average speed to reach the moon = Distance / Time = 386,400 km / 3 days = 128,800 km/day

Now, to calculate the distance to Mars, we need to consider that Mars is about 140 times farther away from Earth than the moon.

Distance to Mars = Distance to the moon + (140 * Distance to the moon) = 386,400 km + (140 * 386,400 km)

Distance to Mars = 386,400 km + 54,096,000 km = 54,482,400 km

Next, we can find the time it would take to reach Mars by using the average speed.

Time to reach Mars = Distance to Mars / Average speed

Time to reach Mars = 54,482,400 km / 128,800 km/day

Time to reach Mars ≈ 422.78 days


So, it would take approximately 422.78 days for the spaceship to reach Mars, assuming a very simple model of the solar system where all bodies remain stationary. This is equivalent to about 1.16 years.

Therefore, the closest option from the given choices is 1 year.