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Two cyclists are racing up a mountain at different constant

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Two cyclists are racing up a mountain at different constant [#permalink] New post 21 Aug 2013, 17:08
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Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.
[Reveal] Spoiler: OA

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Re: Two cyclists are racing up a mountain at different constant [#permalink] New post 21 Aug 2013, 20:37
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Answer is A
In 5 mins he could cover 250 meters. Hence he is 50 m/mins faster. So it will take 2 mins
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Re: Two cyclists are racing up a mountain at different constant [#permalink] New post 21 Aug 2013, 21:13
Asifpirlo wrote:
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B.
(2) Cyclist A is moving 25% faster than cyclist B.


The question basically asks the relative speed of A wrt B. This means that we don't need to find the individual speed of A & B


Statement 1
In 5 minutes A cycled 250 m more than the distance traveled by B.
In other words, Relative Speed of A is = 250/5 = 50m/min
Time to cover extra 100 m will be 2 Min
Thus Sufficient.

Statement 2
In 5 minutes A cycled 250 m more than the distance traveled by B.
Speed of A is 25% more than B's.
This option will give different answers depending on the speed of B.
Thus Insufficient.

Answer A
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Re: Two cyclists are racing up a mountain at different constant [#permalink] New post 22 Aug 2013, 00:51
Expert's post
Two cyclists are racing up a mountain at different constant rates. Cyclist A is now 50 meters ahead of cyclist B. How many minutes from now will cyclist A be 150 meters ahead of cyclist B?

(1) 5 minutes ago, cyclist A was 200 meters behind cyclist B. In 5 minutes A gained 200+50=250 meters --> 50 meters in 1 minute. To gain additional 100 meters he'll need 2 more minutes. Sufficient.

(2) Cyclist A is moving 25% faster than cyclist B. If both cyclist are very slow A'll need more minutes than if both cyclist are very fast. Not sufficient.

Answer: A.
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Re: Two cyclists are racing up a mountain at different constant   [#permalink] 22 Aug 2013, 00:51
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