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Trains A and B travel at the same constant rate in opposite

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Trains A and B travel at the same constant rate in opposite [#permalink]

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Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?

(1) Train B started traveling between Town G and Town H 1 hour after Train A started traveling between Town H and Town G.

(2) Train B travels at the rate of 150 miles per hour.
[Reveal] Spoiler: OA

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 15 Aug 2013, 11:18
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2013gmat wrote:
Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?

(1) Train B started traveling between Town G and Town H 1 hour after Train A started traveling between Town H and Town G.

(2) Train B travels at the rate of 150 miles per hour.

plz explain.


just note: A and B have same speed.
train A travelled for 2 hours before they met.

statement 1:
train B Started 1 hour late therefore first he travelled for 1 hour before both train met.
now since both train have same speed then it means train B will also take 2 hours to complete remaining distance...hence total time = 2+1 =3 hrs
hence sufficient.

(2) Train B travels at the rate of 150 miles per hour.
now we dont know whether both train started together or anyone started late.
hence insufficient.

hence A
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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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Hi,
For option 2, why cant we assume both trains started simultaneouly since the question would then be -
Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?
Train B travels at the rate of 150 miles per hour.

If this comes in PS - w ecould have solved this easily by saying both the trains travelled for 2 hrs with speed 150m/h. Hence the toal distance will be 150*2 + 150*2 = 600; or train B took 4 hrs.. Or simply Train A and B travelled for 2 hrs each, so 4 hours.
I am confused why cant we do this way..?

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 16 Aug 2013, 11:13
i agree with zerosleep.
since the statement two or the question stem does not mention whether the two trains started simultaneously or at different timings, cant we presume they started together?

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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semwal wrote:
i agree with zerosleep.
since the statement two or the question stem does not mention whether the two trains started simultaneously or at different timings, cant we presume they started together?


hi semwal.

until and unless it is not specifically stated in the argument that they have not started at same time you cant assume so.
moreover in such cases most of the time you will get hint from one of the statement as in this case in statement 1 it clearly says that both have not started at same time.
never assume anything.
this is GMAT ..it will not confuse you in such things...so never assume anything.

hope it helps
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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 10 Nov 2013, 13:43
logic driven question hardly any calculation involved.
the key is "same constant speed" in the question stem, once deciphered everything should fall apart. Make a grid to get a more visual understanding

B can be rejected out rightly. A is the answer.

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 20 Jan 2015, 02:37
blueseas wrote:
2013gmat wrote:
Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?

(1) Train B started traveling between Town G and Town H 1 hour after Train A started traveling between Town H and Town G.

(2) Train B travels at the rate of 150 miles per hour.

plz explain.


just note: A and B have same speed.
train A travelled for 2 hours before they met.

statement 1:
train B Started 1 hour late therefore first he travelled for 1 hour before both train met.
now since both train have same speed then it means train B will also take 2 hours to complete remaining distance...hence total time = 2+1 =3 hrs
hence sufficient.

(2) Train B travels at the rate of 150 miles per hour.
now we dont know whether both train started together or anyone started late.
hence insufficient.

hence A




Doesn't this statement assume that A traveled for 2 hours starting from one of the towns?

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 20 Jan 2015, 05:48
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nayanprateek wrote:
blueseas wrote:
2013gmat wrote:
Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?

(1) Train B started traveling between Town G and Town H 1 hour after Train A started traveling between Town H and Town G.

(2) Train B travels at the rate of 150 miles per hour.

plz explain.


just note: A and B have same speed.
train A travelled for 2 hours before they met.

statement 1:
train B Started 1 hour late therefore first he travelled for 1 hour before both train met.
now since both train have same speed then it means train B will also take 2 hours to complete remaining distance...hence total time = 2+1 =3 hrs
hence sufficient.

(2) Train B travels at the rate of 150 miles per hour.
now we dont know whether both train started together or anyone started late.
hence insufficient.

hence A




Doesn't this statement assume that A traveled for 2 hours starting from one of the towns?



G _____________________________ H
A --->....................................<---B

After 2 hrs of A's traveling and 1 hr of B's traveling:

G______________________________ H
----------------------------AB-----------

A took 2 hrs to cover the red dotted line distance as given in the question. B will also take 2 hrs to cover this distance. Hence total time taken by B will be 1 + 2 = 3 hrs
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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 19 Mar 2016, 04:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 03 Aug 2016, 09:27
without a and b, we know either train can cover the whole route in 4hours. hate this kinda questions... hehe

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Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 18 Sep 2017, 20:47
Hi Karishma,

I initially answered E, misunderstood the statement "Trains A and B travel at the same constant rate" in the question, I assumed that A and B travel at their same constant speeds, but they could travel at diff speed but still maintain their respective speed constant. can this statement mean so?. This kind of wordings confuses me.

Yes if Speed of A and B is same, then answer is A.

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Re: Trains A and B travel at the same constant rate in opposite [#permalink]

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New post 18 Sep 2017, 22:41
hellosanthosh2k2 wrote:
Hi Karishma,

I initially answered E, misunderstood the statement "Trains A and B travel at the same constant rate" in the question, I assumed that A and B travel at their same constant speeds, but they could travel at diff speed but still maintain their respective speed constant. can this statement mean so?. This kind of wordings confuses me.

Yes if Speed of A and B is same, then answer is A.


Note that we are talking about a single constant rate:
"Trains A and B travel at the same constant rate..."

So they must have the same rate. Else they would be travelling at their own constant rates.
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Re: Trains A and B travel at the same constant rate in opposite   [#permalink] 18 Sep 2017, 22:41
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