bulletpoint wrote:
On a trolley ride around an amusement park, a child travelled from one signpost to a second signpost at a constant speed of 125 meters per minute. Was the distance that the child travelled from the first signpost to the second signpost greater than 0.8km? (1km = 1,000meters)
1) It took less than 450 seconds for the child to travel from the first signpost to the second signpost
2) It took more than 400 seconds for the child to travel from the first signpost to the second signpost
Since the statements are in terms of seconds, convert the given distance -- 0.8 km -- to seconds:
\(\frac{0.8-km}{1} * \frac{1000-meters}{1-km} * \frac{1-minute}{125- meters} * \frac{60-seconds}{1-minute} = \frac{800*60}{125} = 384\) seconds.
Thus, 0.8 km is the equivalent of 384 seconds.
Implication:
To travel MORE THAN 0.8 km, the time must be MORE THAN 384 SECONDS.
Question stem, rephrased:
Is t > 384?
Statement 1: t < 450
If t = 300, the answer to the rephrased question stem is NO.
If t = 400. the answer to the rephrased question stem is YES.
Since the answer is NO in the first case but YES in the second case, INSUFFICIENT.
Statement 2: t > 400
Thus, the answer to the rephrased question stem is YES.
SUFFICIENT.
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