To determine how long it would take the spaceship to reach Mars, we need to first calculate the distance from Earth to Mars.
Given that the distance to the Moon is approximately 386,400 km and Mars is about 140 times farther away, we can calculate the distance to Mars as follows:
Distance to Mars = Distance to Moon × 140 Distance to Mars = 386,400 km × 140 = 54,096,000 km
Next, we need to find the speed of the spaceship based on its journey to the Moon. If the spaceship reaches the Moon in 3 days, we can compute its speed:
Speed = Distance / Time Time to reach the Moon in hours = 3 days × 24 hours/day = 72 hours
Speed = 386,400 km / 72 hours ≈ 5,366.67 km/hour
Now we can use this speed to calculate the time it would take to reach Mars:
Time = Distance / Speed Time to reach Mars = 54,096,000 km / 5,366.67 km/hour ≈ 10,085.6 hours
To convert hours into years, we can divide by the number of hours in a year:
1 year = 365 days × 24 hours/day = 8,760 hours Time to reach Mars in years = 10,085.6 hours / 8,760 hours/year ≈ 1.15 years
Therefore, the approximate time it would take the spaceship to reach Mars would be about 1 year.
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