To estimate the travel time to Mars based on the information provided, we can use the distances to both celestial bodies.
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The distance to the moon is approximately 386,400 km.
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Mars is about 140 times farther away from Earth than the moon, so the distance to Mars at its closest is:
\[ \text{Distance to Mars} = 386,400 \text{ km} \times 140 = 54,096,000 \text{ km} \]
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If we assume the spaceship takes 3 days (72 hours) to travel the 386,400 km to the moon, we can calculate its speed:
\[ \text{Speed} = \frac{386,400 \text{ km}}{72 \text{ hours}} \approx 5,366.67 \text{ km/hour} \]
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Now, to find out how long it would take to cover the distance to Mars at the same speed:
\[ \text{Time} = \frac{\text{Distance to Mars}}{\text{Speed}} = \frac{54,096,000 \text{ km}}{5,366.67 \text{ km/hour}} \approx 10,100 \text{ hours} \]
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To convert hours into years:
\[ \text{Years} = \frac{10,100 \text{ hours}}{24 \text{ hours/day} \times 365 \text{ days/year}} \approx 1.15 \text{ years} \]
Therefore, the closest approximation for how long it would take that spaceship to reach Mars is about 1 year.