Consider an $8-$car caravan, where the propagation speed is $100$ km$/$hour$,$ each car takes $1$ minute to

pass a toll both. The caravan starts in front of toll booth A$,$ goes through toll booth B$,$ and ends after

passing toll booth C$.$ Let dAB and dBC be the distance between A$-$B$,$ and B$-$C$.$

a$)$ Suppose dAB $=$ dBC $=10$ km$.$ What is the end$-$to$-$end delay if the caravan travels together $($i$.$e$.,$ the

first car must wait for the last car after passing each toll booth$)?$