On a trolley ride around an amusement park, a child traveler : GMAT Data Sufficiency (DS)
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On a trolley ride around an amusement park, a child traveler

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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
[Reveal] Spoiler: OA
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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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)

(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.
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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Bunuel 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)

(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.


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Hope this helps.
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 14 Oct 2013, 08:03
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



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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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 27 Oct 2014, 09:45
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 19 Nov 2015, 10:43
Hello from the GMAT Club BumpBot!

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On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 20 Nov 2015, 01:14
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


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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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 21 Nov 2015, 18:53
I used fractions to simplify the math.

125m/60sec = 25m/12sec = approximately 2 meters per second (slightly more)

1) 2*450 is a number less than approximately 9.... Could be 0-8.9

2) 2*400 is a number larger than approximately 8.... Sufficient

Ans. B
Re: On a trolley ride around an amusement park, a child traveler   [#permalink] 21 Nov 2015, 18:53
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