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Stations X and Y are connected by two separate, straight,

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Re: DS -Relative Speed - Set 14 [#permalink]

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New post 26 Sep 2010, 04:24
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Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?
(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour for the entire trip.

(1) As P averaged 70 miles per hour at the time when the two trains passed, hence when they passed each other P traveled 2*70=140 miles, so for P it was 110 miles left to cover and for Q 140. P was closer to its destination. Sufficient.

(2) Knowing average speed for entire trip won't help us to determine the distance either of train coverd at the time they passed each other (as the average speed at the time the met could have been different). Not sufficient.

Answer: A.
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Re: DS -Relative Speed - Set 14 [#permalink]

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New post 17 Oct 2010, 05:48
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 31 Dec 2013, 08:05
tenaman10 wrote:
Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?

(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour for the entire trip.


Clear A, from question stem, one gets the following

(P+Q)(2) = 250

(P+Q) = 125

Statement 1

P= 70 --> Q= 55

Suff

Statement 2

Not suff

Hence A is the correct answer

Hope it helps!
Cheers!

J :)
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 11 Jan 2014, 07:38
Yes it is A. Stmt 2 is tricky. We should not assume speed of Q is constant. It got me.
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 01 May 2014, 06:48
What is the right answer ? To me both alone are sufficient.
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 05 May 2014, 23:28
HI bunnel

Please explain once the concept of average speed... as in when we need the average speed of entire trip and when we need average speed at the time of meeting
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 06 May 2014, 03:21
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nandinigaur wrote:
HI bunnel

Please explain once the concept of average speed... as in when we need the average speed of entire trip and when we need average speed at the time of meeting


Not sure I follow... Generally (average speed) = (total distance)/(total time) ...

Theory on Distance/Rate Problems: distance-speed-time-word-problems-made-easy-87481.html

All DS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=44
All PS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=64


Hope this helps.
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 20 Jan 2015, 10:32
Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other’s point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?

(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.
(2) Train Q averaged a speed of 55 miles per hour for the entire trip


SOLUTION:

D = 250 miles
P and Q travel 2 hrs each before they meet

From (1): P speed = 70 mph i.e. in 2 hrs it covers 140 miles
Therefore, Q must have traveled = 110 miles ---- SUFFICIENT

From (2): Q speed for ENTIRE trip = 55 mph ---- Clearly INSUFFICIENT

ANSWER: A
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 09 Apr 2016, 14:52
i think it should be E.

1) it says "At the time the 2 trains passed" train P averaged 70 mph. Which means that the speed could've been more or less before. what if it was going at a speed of 30 mph and all along and then was at 70 around when it crossed train Q.

2) Train Q averaged 55 mph for the entire trip.

Here we're comparing apples to oranges as one states the speed when the trains crossed and one states the average speed. If both had average speeds in the question, it would be a fair comparison.
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Re: Stations X and Y are connected by two separate, straight, [#permalink]

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New post 09 Apr 2016, 15:09
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achalbhatt wrote:
i think it should be E.

1) it says "At the time the 2 trains passed" train P averaged 70 mph. Which means that the speed could've been more or less before. what if it was going at a speed of 30 mph and all along and then was at 70 around when it crossed train Q.

2) Train Q averaged 55 mph for the entire trip.

Here we're comparing apples to oranges as one states the speed when the trains crossed and one states the average speed. If both had average speeds in the question, it would be a fair comparison.


The correct answer is given under the spoiler in the original post and it's A. Solution is here: stations-x-and-y-are-connected-by-two-separate-straight-77177-20.html#p788611

Hope it helps.
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Resources:
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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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Stations X and Y are connected by two separate, straight,   [#permalink] 09 Apr 2016, 15:09

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