Question #ee439cff - SAT Suite Question Bank

ID: ee439cff

Modded SAT Question Bank by Abdullah Mallik

On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under $220$ miles. Rhett drove at an average speed of $35 miles per hour left parenthesis mph right parenthesis$ , and Jessica drove at an average speed of $40 mph$ . Which of the following inequalities represents this situation, where $r$ is the number of hours Rhett drove and $j$ is the number of hours Jessica drove?

$35 r plus 40 j greater than 220$
$35 r plus 40 j less than 220$
$40 r plus 35 j greater than 220$
$40 r plus 35 j less than 220$

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Correct Answer: B

Rationale

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 $35 r$ 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 $40 j$ miles, or the distance that Jessica drove. The total distance, in miles, that Rhett and Jessica drove can be represented by the expression $35 r plus 40 j$ . It’s given that the total distance they drove was under $220$ miles. Therefore, the inequality $35 r plus 40 j less than 220$ 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.

Question Difficulty: Easy