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Two trains A and B starting from two points and travelling 18 Nov 2013, 08:48
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69% (02:24) correct 31% (02:16) wrong based on 59 sessions

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Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.

(A) 40
(B) 60
(C) 120
(D) 80
(E) 100

Posted from my mobile device

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KarishmaB
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Two trains A and B starting from two points and travelling 18 Nov 2013, 21:38
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fra
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.

(A) 40
(B) 60
(C) 120
(D) 80
(E) 100

Posted from my mobile device
Show more

Using Formula:

If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3

This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 80 kmph, speed of B must be 80*(3/2) = 120 kmph

You can also do this question without using the formula. Check out this post for the method: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2013/04 ... -formulas/
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Two trains A and B starting from two points and travelling 19 Nov 2013, 02:55
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VeritasPrepKarishma
fra
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.

(A) 40
(B) 60
(C) 120
(D) 80
(E) 100

Posted from my mobile device

Using Formula:

If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3

This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 80 kmph, speed of B must be 80*(3/2) = 120 kmph

You can also do this question without using the formula. Check out this post for the method: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2013/04 ... -formulas/
Show more

Can you please explain this a little more?

First, nothing is given in the question as to what are the destinations of each train. Are we to assume that the starting point of A is destination of B and vice-versa?

Second, the question also doesn't say whether the trains started at the same time, can we just assume that they did?
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Two trains A and B starting from two points and travelling 19 Nov 2013, 08:57
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gmatprav
VeritasPrepKarishma
fra
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs.

(A) 40
(B) 60
(C) 120
(D) 80
(E) 100

Posted from my mobile device

Using Formula:

If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3

This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 80 kmph, speed of B must be 80*(3/2) = 120 kmph

You can also do this question without using the formula. Check out this post for the method: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2013/04 ... -formulas/

Can you please explain this a little more?

First, nothing is given in the question as to what are the destinations of each train. Are we to assume that the starting point of A is destination of B and vice-versa?

Second, the question also doesn't say whether the trains started at the same time, can we just assume that they did?
Show more

The intent of the question is quite clear - the execution sure is lacking. In my post, I have explicitly mentioned both points as they will be in an actual GMAT question too.
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Two trains A and B starting from two points and travelling 19 Nov 2013, 10:00
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VeritasPrepKarishma


The intent of the question is quite clear - the execution sure is lacking. In my post, I have explicitly mentioned both points as they will be in an actual GMAT question too.
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Hello Karishma thanks for the reply. Yes, I checked your link and it is very clear about the destinations, the current question was not. I also arrived at the same answer going purely by the intent :) I wanted to make sure I am not assuming something that is not stated in the question. Glad to know the real GMAT will not have this kind of ambiguity.

This Question is Locked Due to Poor Quality
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