To find out how long it would take the spaceship to reach Mars, we can use the information provided.
- Distance to the Moon: 386,400 km
- Distance to Mars: About 140 times the distance to the Moon.
So, the distance to Mars is: \[ 140 \times 386,400 \text{ km} = 54,096,000 \text{ km} \]
- Time to reach the Moon: 3 days.
Next, we can calculate the speed of the spaceship. We can convert the time in days to hours (3 days = 72 hours) and find the speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{386,400 \text{ km}}{72 \text{ hours}} \approx 5,366.67 \text{ km/h} \]
Now, we can calculate the time to reach Mars: \[ \text{Time to reach Mars} = \frac{\text{Distance to Mars}}{\text{Speed}} = \frac{54,096,000 \text{ km}}{5,366.67 \text{ km/h}} \approx 10,100 \text{ hours} \]
Next, convert hours to years (there are about 8,760 hours in a year): \[ \text{Time in years} = \frac{10,100 \text{ hours}}{8,760 \text{ hours/year}} \approx 1.15 \text{ years} \]
Based on that approximation, the closest response is about 1 year.