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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.

Re: Stations X and Y are connected by two separate, straight, [#permalink]
31 Dec 2013, 07:05

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

Re: Stations X and Y are connected by two separate, straight, [#permalink]
05 May 2014, 22:28

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 _________________

Hope to clear it this time!! GMAT 1: 540 Preparing again

Re: Stations X and Y are connected by two separate, straight, [#permalink]
06 May 2014, 02:21

Expert's post

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) ...

Re: Stations X and Y are connected by two separate, straight, [#permalink]
20 Jan 2015, 09:32

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

gmatclubot

Re: Stations X and Y are connected by two separate, straight,
[#permalink]
20 Jan 2015, 09:32

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