Problem #$1[25]$: Suppose a $100$ Mbps $($Megabits per second$)$ point$-$to$-$point link is being set$-$up between Earth and a new lunar colony. The distance from the moon to the earth is approximately $385,000$ Kilometers. Data travel over the link at the speed of light $3$ x $10^8$ meters per second.

Calculate the minimum Round$-$trip Time $($RTT$)$ for the link.

Using the RTT as the delay, calculate the delay x bandwidth product for the link.

We would like to transfer a $50$ MB $($Mega Bytes$)$ file from lunar colony to earth. How much time will it take to transfer the file. Please include propagation delay in your calculations.