Bunuel
Sam leaves Town X at 9 am and drives due north at 50 mph towards Town Y. An hour later, Julie leaves Town X and drives due south toward Town Z. At what time, are the two cars 90 miles apart?
(1) The distance from Town Y to Town Z is 210 miles.
(2) Sam average speed is 12% slower than Julie's.
Nice question, Bunuel!
This is an
expanding gap question, with both people leaving Town X and traveling in OPPOSITE DIRECTIONS.
Target question: At what time, are the two cars 90 miles apart? Given: Sam leaves Town X at 9 am and drives due north at 50 mph towards Town Y. An hour later, Julie leaves Town X and drives due south toward Town Z. Statement 1: The distance from Town Y to Town Z is 210 miles. This information is irrelevant. There need not even be a Town Y and a Town Z.
All we need to know is that the two people are heading in opposite directions.
What we DO need is Julie's speed
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Sam average speed is 12% slower than Julie's In other words, Sam's speed is 88% that of Julie's speed
Sam's speed is 50 miles per hour, so we can write: 50 = 88% of Julie's speed
IMPORTANT: We COULD use this information to calculate Julie's speed. Once we know each person's speed, we can determine how long it will take for the GAP to increase to 90 miles, which means we COULD answer the
target question with certainty. Of course, we won't actually perform all of those tedious calculations, since we need only determine whether we have enough information to answer the target question.
So, statement 2 is SUFFICIENT
Answer: