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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 traveler [#permalink]

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New post 14 Oct 2013, 08:47
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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
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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, 09:01
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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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New post 14 Oct 2013, 09:02
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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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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.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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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, 09:03
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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On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 20 Nov 2015, 02:14
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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, 19:53
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
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 22 Mar 2017, 20:38
Gnpth wrote:
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.


You'll still need to consider the upper boundary for 1)
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Re: On a trolley ride around an amusement park, a child traveler [#permalink]

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New post 05 Sep 2017, 17:27
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.


This is the best approach to this solution, i unnecessarily spent almost 3 mins solving this, while using Bunuel's approach it actually should have taken 30 seconds. Lesson i learnt, it is not about solving the problem ONLY it is also about solving it quicker! Thanks for such an elegant approach!
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Re: On a trolley ride around an amusement park, a child traveler   [#permalink] 05 Sep 2017, 17:27
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