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Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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30 Sep 2013, 11:45

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60% (02:19) correct
40% (01:06) wrong based on 131 sessions

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Station Q is to the East of Station T. At 12 noon, a train starts from Station Q and travels at a constant speed of x mph towards Station T. At 12 noon of the same day, another train starts from Station T and travels at a constant speed of y mph towards Station Q. At what time will the trains meet?

Re: Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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30 Sep 2013, 12:11

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honchos wrote:

Station Q is to the East of Station T. At 12 noon, a train starts from Station Q and travels at a constant speed of x mph towards Station T. At 12 noon of the same day, another train starts from Station T and travels at a constant speed of y mph towards Station Q. At what time will the trains meet? (1) y = 4x/3 (2) x = 100 mph

haha .. there is no mention of distance between Q and T .. neither in question nor in any of the statements .. distance could be 10000 miles or 10 miles .. not possible to get the answer ..

Re: Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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15 Oct 2013, 04:30

I don't know how to solve these distance/rate question in the two "meeting" at some point in the middle. Some questions ask at what time would they meet and others ask about the distance at which they would meet.

Can someone please clarify the equation I should use. I know I'm supposed to subtract rates, but can someone please give me a quick run down over the procedures.

Re: Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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15 Oct 2013, 05:39

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Expert's post

SaraLotfy wrote:

I don't know how to solve these distance/rate question in the two "meeting" at some point in the middle. Some questions ask at what time would they meet and others ask about the distance at which they would meet.

Can someone please clarify the equation I should use. I know I'm supposed to subtract rates, but can someone please give me a quick run down over the procedures.

Thanks

Remember 2 things :

I.Two objects moving in the same direction,subtract their speeds, call it \(V_{sd}\)

II.Two objects moving in opposite direction, add their speeds, call it \(V_{od}\)

The distance between them be fixed as D. Thus, as we know that Distance = Speed*Time, for the first case, we have Time taken to meet = \(\frac{D}{V_{sd}}\)

Similarly, for the second case, we have Time = \(\frac{D}{V_{od}}\)

Now, if you want the distance at which they meet, just multiply the time calculated above, fix the reference from which object do you want to calculate the distance, and multiply this time with the speed of that object.

Re: Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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16 Oct 2013, 00:48

mau5 wrote:

SaraLotfy wrote:

I don't know how to solve these distance/rate question in the two "meeting" at some point in the middle. Some questions ask at what time would they meet and others ask about the distance at which they would meet.

Can someone please clarify the equation I should use. I know I'm supposed to subtract rates, but can someone please give me a quick run down over the procedures.

Thanks

Remember 2 things :

I.Two objects moving in the same direction,subtract their speeds, call it \(V_{sd}\)

II.Two objects moving in opposite direction, add their speeds, call it \(V_{od}\)

The distance between them be fixed as D. Thus, as we know that Distance = Speed*Time, for the first case, we have Time taken to meet = \(\frac{D}{V_{sd}}\)

Similarly, for the second case, we have Time = \(\frac{D}{V_{od}}\)

Now, if you want the distance at which they meet, just multiply the time calculated above, fix the reference from which object do you want to calculate the distance, and multiply this time with the speed of that object.

Re: Station Q is to the East of Station T. At 12 noon, a train s [#permalink]

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31 Dec 2013, 08:10

honchos wrote:

Station Q is to the East of Station T. At 12 noon, a train starts from Station Q and travels at a constant speed of x mph towards Station T. At 12 noon of the same day, another train starts from Station T and travels at a constant speed of y mph towards Station Q. At what time will the trains meet?

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