On a trolley ride around an amusement park, a child traveler

Question

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

Bunuel · Accepted Answer

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)

(distance) = (time)*(rate)
800 = (time)*125
(time) = 800/125 = 6.4 minutes = 384 seconds.

So, the question basically asks whether the time taken was greater than 384 seconds.

1) It took less than 450 seconds for the child to travel from the first signpost to the second signpost. Not sufficient.

2) It took more than 400 seconds for the child to travel from the first signpost to the second signpost. Sufficient.

Answer: B.

Bunuel · Answer

Other conversion problems to practice: if-an-object-travels-100-feet-in-2-seconds-what-is-the-103364.html the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html a-train-traveling-at-a-constant-speed-down-a-straight-track-87124.html a-welder-received-an-order-to-make-a-1-million-liter-126154.html a-car-traveling-at-a-certain-constant-speed-takes-2-seconds-126658.html if-an-automobile-averaged-22-5-miles-per-gallon-of-gasoline-109083.html if-1-kilometer-is-approximately-0-6-mile-which-of-the-140731.html measuring-standards-conversion-106516.html if-10-millimeters-equal-1-centimeter-how-many-square-48538.html the-speed-of-light-is-approximately-149492.html the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html if-the-speed-of-x-meters-per-second-is-equivalent-to-the-127005.html according-to-the-formula-f-9-5-c-32-if-the-temperature-160658.html if-the-speed-of-x-meters-per-second-is-equivalent-to-the-spe-79246.html Hope this helps.

Gnpth · Answer

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.

TeamGMATIFY · Answer

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

GMATGuruNY · Answer

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.

B

avigutman · Answer

Video solution from Quant Reasoning (starts at 0:25:58): Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=cn-ojY-2Gj0

Vubar · Answer

Just wondering if this question should have the GMAT Prep tag? I saw this question in my Official Mock 4

Bunuel · Answer

Added the tag. Thank you!

bumpbot · Answer

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On a trolley ride around an amusement park, a child traveler

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