On a car trip, Rhett and Jessica each drove for part of the trip, and the

Choice B is correct. It’s given that Rhett drove at an average speed of $35$ miles per hour and that he drove for $r$ hours. Multiplying $35$ miles per hour by $r$ hours yields $35r$ miles, or the distance that Rhett drove. It’s also given that Jessica drove at an average speed of $40$ miles per hour and that she drove for $j$ hours. Multiplying $40$ miles per hour by $j$ hours yields $40j$ miles, or the distance that Jessica drove. The total distance, in miles, that Rhett and Jessica drove can be represented by the expression $35r+40j$. It’s given that the total distance they drove was under $220$ miles. Therefore, the inequality $35r+40j<220$ represents this situation.

Choice A is incorrect. This inequality represents a situation in which the total distance Rhett and Jessica drove was over, rather than under, $220$ miles.

Choice C is incorrect. This inequality represents a situation in which Rhett drove at an average speed of $40$, rather than $35$, miles per hour, Jessica drove at an average speed of $35$, rather than $40$, miles per hour, and the total distance they drove was over, rather than under, $220$ miles.

Choice D is incorrect. This inequality represents a situation in which Rhett drove at an average speed of $40$, rather than $35$, miles per hour, and Jessica drove at an average speed of $35$, rather than $40$, miles per hour.