Bunuel wrote:
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)
(1) It took less than 45 minutes for the train to travel from station X to Station Y.
(2) It took more than 42 minutes for the train to travel from station X to Station Y
We can let d = the distance between station X and station Y. We need to determine whether d > 40 miles.
Since the distance is given in miles but the speed, or rate, is given in feet per second, we need to convert the distance from miles to feet. Since 1 mile = 5,280 feet, 40 miles = 40 x 5,280 = 211,200 feet.
Since rate x time = distance and we have a rate of 88 ft/s, we can change the question to:
Is 88t > 211,200 feet?
Is t > 2,400 seconds?
Since 2,400 seconds = 2,400/60 = 40 minutes, the question becomes:
Is t > 40 minutes?
Statement One Alone:
It took less than 45 minutes for the train to travel from station X to Station Y.
Since less than 45 minutes could mean 42 minutes or 38 minutes, statement one does not tell us whether t > 40 minutes. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
It took more than 42 minutes for the train to travel from station X to Station Y.
Statement two tells us that t is greater than 40 minutes.
Answer: B
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