Problem $2$: Write a algorithm and program in C$.$ Let's assume that you could travel to the Moon by car traveling at $100k\frac{m}{h}.$

How long would that take to get there? How about going to Mars or Venus? If you go

there by rocket with a higher speed, it would obviously take less time.

To solve this problem you will need to write three user$-$defined functions, one for each

destination. Each of the functions will take the traveling speed in $k\frac{m}{h}$ as the argument

and give the time $($in hours$)$ it will take to get to the destination.

Note that because there are minimum $($perigee$)$ and maximum $($apogee$)$ distances between

the Earth, the Moon, Mars and Venus, you will need to calculate the minimum and

maximum travel times so the three functions will each produce two results.

Distances:

Earth to Moon $>$ Perigee: $363,104km.$ Apogee: $405,696$ km

Earth to Mars $>$ Perigee: $54\mathrm{.}6$ million km$.$ Apogee: $401$ million km

Earth to Venus $>$ Perigee: $38$ million km$.$ Apogee: $261$ million km

Write a C program that will present a menu with four options:

Traveling to the Moon

Traveling to Mars

Traveling to Venus

Exit program.

You will ask the user for the traveling speed after the user has chosen options $1,2$ or $3.$ Your

program must keep presenting the menu until the user chooses option $4.$

Run your program with the following speeds: $100k\frac{m}{h}($car$),500k\frac{m}{h}($airplane$),$ and

$41000k\frac{m}{h}($rocket$).$