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Two cyclists are racing up a mountain at different constant rates. Cyc

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Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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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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Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 24 Aug 2016, 08:14
(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.

A

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 24 Aug 2016, 09:52
paidlukkha wrote:
(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.

A

similar question
http://gmatclub.com/forum/two-cyclists-are-racing-up-a-mountain-at-different-constant-158373.html



Hi Paidlukkha, I've a question in your explanation of the first statement " 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."

In the 5 mins B too would have moved, lets say X metres, So A would have moved 200 + 50 + x metres and not 250 metres. Is my understanding correct ?

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Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 24 Aug 2016, 19:20
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Bunuel 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.



Statement II is insufficient. The ratio of speed is not very helpful when calculating the difference of speeds. My mindset moving to statement I is that there should be a temptation to choose C so I must be very careful.
Statement I is sufficient. The change of 250 meters over 5 minutes is the rate of change for both cyclist A and cyclist B.

IMO A

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 24 Aug 2016, 23:14
Senthil1981 wrote:
paidlukkha wrote:
(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.

A

similar question
http://gmatclub.com/forum/two-cyclists-are-racing-up-a-mountain-at-different-constant-158373.html



Hi Paidlukkha, I've a question in your explanation of the first statement " 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."

In the 5 mins B too would have moved, lets say X metres, So A would have moved 200 + 50 + x metres and not 250 metres. Is my understanding correct ?

Hi Senthil
We are referring to relative speeds here. lets say u r on a bike travelling at 60 km/hr trying to catch a friend who is travelling at 40 km/hr but is 20 km ahead of you,u will do so in an hours time.
Now lets put this in terms of this question it took 1hr for u to catch ur friend ,how much will it take for u to be 40 kms ahead at the same constant speeds.2 hrs right.Hope this helps

Sent from my MI 3W using GMAT Club Forum mobile app

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 28 Aug 2016, 01:11
To solve this question we need to find a difference in the speed of these two cyclists.
1) We know that in 5 minutes the distance between changed for 250 m, then the difference between their speeds is 50 m per min -> sufficient
2) Not sufficient since, the difference could be 50 m per min or 50 km per min or any other number

A

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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New post 29 Aug 2016, 23:33
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.

in 5 min A is ahead of B by= 250 m

A will be 100 meters ahead of cyclist B = 2 min.

only A

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc [#permalink]

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Re: Two cyclists are racing up a mountain at different constant rates. Cyc   [#permalink] 26 Oct 2017, 08:02
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