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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


Statement A: We are not sure, Whether how much it takes for the travel- It may take 100 sec, 200 sec or even 300 sec- So Statement A is not sufficient.

Statement B: 800 meter(0.8 KM) takes less than 400. so we can say that this definitely did not take more than 400 sec- The answer to this statement is NO- Which is sufficient-

Answer is B.
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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

Given: speed = 125m/min
Required: Distance > 0.8m?

Since both the statements are given in the form of time, it is better to convert the question in the form of time.
Distance = speed*time
(125/60)*t>800?
Or t > 384?

Statement 1: t < 450
Possible values of t:
t < 384
384 < t <450
INSUFFICIENT

Statement 2: t > 400
SUFFICIENT

Option B
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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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Video solution from Quant Reasoning (starts at 0:25:58):
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Just wondering if this question should have the GMAT Prep tag? I saw this question in my Official Mock 4 :)
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Just wondering if this question should have the GMAT Prep tag? I saw this question in my Official Mock 4 :)

Added the tag. Thank you!
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Hello from the GMAT Club BumpBot!

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