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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.

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

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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.

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

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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.

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 ?

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

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24 Aug 2016, 19:20

Top Contributor

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.

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

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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.

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

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

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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

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

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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.

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

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26 Oct 2017, 08:02

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