If Rodrigo left work at 4:50 P.M. and traveled home for (3/4) of an hour, what time did he arrive home?

To determine the time Rodrigo arrived home after leaving work at 4:50 P.M. and traveling for three-quarters of an hour (or 45 minutes), you add 45 minutes to 4:50 P.M.

Starting at 4:50, when you add 10 minutes, you reach 5:00 P.M. After that, you still need to add an additional 35 minutes (since 45 minutes total minus the initial 10 minutes leaves you with 35 minutes). Adding 35 minutes to 5:00 P.M. brings you to 5:35 P.M.

Thus, Rodrigo arrived home at 5:35 P.M., which corresponds with the correct answer.