Answers:
1) Time it takes to travel to the moon
Velocity [tex]V[/tex] is defined as:
[tex]V=\frac{d}{t}[/tex]
Where:
[tex]d=384,000 km[/tex] is the average distance from Earth to the Moon
[tex]V=800 km/h[/tex] is the velocity of the spacecraft
[tex]t[/tex] the time
Isolating [tex]t[/tex]:
[tex]t=\frac{d}{V}[/tex]
[tex]t=\frac{384,000 km}{800 km/h}[/tex]
[tex]t=480 h[/tex] This is the time in hours
2) Time in days
A day is equivalent to 24 hours:
[tex]1 day= 24 h[/tex]
Hence:
[tex]t=480 h (\frac{1 day}{24 h})[/tex]
[tex]t=480 h (\frac{1 day}{24 h})=20 days[/tex] This is the time in days
3) Time in months
A month is equivalent to 30.4 days:
[tex]1 month= 30.4 days[/tex]
Hence:
[tex]t=480 h (\frac{1 day}{24 h})[/tex]
[tex]t=20 days (\frac{1 month}{30.4 days})=0.65 months [/tex] This is the time in months