If Car X followed Car Y across a certain bridge that is 1/2 : GMAT Data Sufficiency (DS)
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If Car X followed Car Y across a certain bridge that is 1/2

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If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

(1) Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.
(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour.

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SOLUTION

If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

Let the time needed for car X to travel across the bridge be \(t_x\) seconds and the time needed for car Y be \(t_y\) seconds.

(1) Car X drove onto the bridge exactly 3 seconds after car Y drove onto the bridge and drove off the bridge exactly 2 seconds after car Y drove off the bridge --> car X needs 1 second less to travel across the bridge than car Y --> \(t_y=t_x+1\). Not sufficient to calculate \(t_x\).

(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour. 30 miles per hour is \(\frac{30}{3600}=\frac{1}{120}\) miles per second --> car Y needs \(t_y=\frac{(\frac{1}{2})}{(\frac{1}{120})}=60\) seconds to travel across the bridge. Not sufficient to calculate \(t_x\).

(1)+(2) \(t_y=t_x+1\) and \(t_y=60\) --> \(t_x=60-1=59\). Sufficient.

Answer: C.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 16 Sep 2012, 20:43
Bunuel

Can this not be vvorked out just vvith A

--> since distances are equal
then equate

SX. Tx = Sy. Ty

Is this not possible

then in that case statement 1 becomes sufficient please explain


Bunuel wrote:
SOLUTION

If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

Let the time needed for car X to travel across the bridge be \(t_x\) seconds and the time needed for car Y be \(t_y\) seconds.

(1) Car X drove onto the bridge exactly 3 seconds after car Y drove onto the bridge and drove off the bridge exactly 2 seconds after car Y drove off the bridge --> car X needs 1 second less to travel across the bridge than car Y --> \(t_y=t_x+1\). Not sufficient to calculate \(t_x\).

(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour. 30 miles per hour is \(\frac{30}{3600}=\frac{1}{120}\) miles per second --> car Y needs \(t_y=\frac{(\frac{1}{2})}{(\frac{1}{120})}=60\) seconds to travel across the bridge. Not sufficient to calculate \(t_x\).

(1)+(2) \(t_y=t_x+1\) and \(t_y=60\) --> \(t_x=60-1=59\). Sufficient.

Answer: C.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 16 Sep 2012, 21:48
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The question asks the time taken by X to cross the bridge.

How come? Statement 1 helps us to get the relationship between X and Y wrt time. It does not tell us the time taken by Y to cross

Statement 2 gives us the time taken by Y to cross the bridge.

Both the statements together are sufficient.

Hope this helps!
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 02 May 2013, 19:07
Banuel,

I'm not seeing it, is there a way you can list the three or four item being tested? and what makes the answer sufficient?

Time?
Rate of Speed?
Distance?
Any other?

Thanks.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 03 May 2013, 02:52
laythesmack23 wrote:
Banuel,

I'm not seeing it, is there a way you can list the three or four item being tested? and what makes the answer sufficient?

Time?
Rate of Speed?
Distance?
Any other?

Thanks.


Not sure I understand what you mean...

Anyway, we need to get \(t_x\).

From (1) we have that \(t_y=t_x+1\) and from (2) we have that \(t_y=60\), thus \(t_x=60-1=59\).
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 03 May 2013, 15:43
In such questions, i look at the short concise option 1st. I look at B and it doesn't talk about one of the two cars. Eliminate answer choice B and D. Now look at A, it gives a relation between time.
We can form two eqn for two cars using speed distance formulae. For 1st car assume all capital letters for its calculations.
S= D/T
For 2nd car , assume small letters:
s=D/t

Now we know that t=T-1 since it took one sec less to travel the bridge.
We also know the length of the bridge. However we don't know the speeds of time in absolute numbers to determine the answer. So we can't get anywhere with the 2Eqns.

Now add info from B and we can compute our answer. hence C.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 07 May 2013, 05:18
Bunuel wrote:
laythesmack23 wrote:
Banuel,

I'm not seeing it, is there a way you can list the three or four item being tested? and what makes the answer sufficient?

Time?
Rate of Speed?
Distance?
Any other?

Thanks.


Not sure I understand what you mean...

Anyway, we need to get \(t_x\).

From (1) we have that \(t_y=t_x+1\) and from (2) we have that \(t_y=60\), thus \(t_x=60-1=59\).




The concept being tested here is RTD right?
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 07 May 2013, 13:05
I dont know if i am wrong but all i did was use the formula speed = distance x time and they have given us both speed ie the rate traveled and the time so am i wrong?
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 08 May 2013, 05:04
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 08 May 2013, 05:05
laythesmack23 wrote:
Bunuel wrote:
laythesmack23 wrote:
Banuel,

I'm not seeing it, is there a way you can list the three or four item being tested? and what makes the answer sufficient?

Time?
Rate of Speed?
Distance?
Any other?

Thanks.


Not sure I understand what you mean...

Anyway, we need to get \(t_x\).

From (1) we have that \(t_y=t_x+1\) and from (2) we have that \(t_y=60\), thus \(t_x=60-1=59\).




The concept being tested here is RTD right?


Yes, that's correct.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

(1) Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.
We don't know how long Car Y was on the bridge for. Therefore, we don't know how long Car X was on the bridge for.
INSUFFICIENT

(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour.
This tells us nothing about Car X.
INSUFFICIENT

1+2)
If the bridge is 1/2 mile long and Car Y crossed it at 30MPH it would have taken exactly one minute to cross the bridge. If Car X followed behind Car Y by 3 seconds and left the bridge just two seconds after Y it gained one second on Y. Therefore, Car X crossed the bridge in 29 seconds.
SUFFICIENT

(C)
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 12 Jan 2014, 12:55
WholeLottaLove wrote:
If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

(1) Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.
We don't know how long Car Y was on the bridge for. Therefore, we don't know how long Car X was on the bridge for.
INSUFFICIENT

(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour.
This tells us nothing about Car X.
INSUFFICIENT

1+2)
If the bridge is 1/2 mile long and Car Y crossed it at 30MPH it would have taken exactly one minute to cross the bridge. If Car X followed behind Car Y by 3 seconds and left the bridge just two seconds after Y it gained one second on Y. Therefore, Car X crossed the bridge in 29 seconds.
SUFFICIENT

(C)


I think you mean 59 seconds. If it took one minute for Car Y to cross and Car X gained on Car Y by one second then the time it took would be 59 seconds.
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Re: If Car X followed Car Y across a certain bridge that is 1/2 [#permalink]

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New post 30 Jul 2016, 07:38
Bunuel wrote:
If Car X followed Car Y across a certain bridge that is 1/2 mile long, how many seconds did it take Car X to travel across the bridge?

(1) Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.
(2) Car Y traveled across the bridge at a constant speed of 30 miles per hour.


We are given that Car X follows Car Y across a bridge that is ½ mile long. We need to determine the time, in seconds, it took Car X to travel the ½ mile across the bridge.

Statement One Alone:

Car X drove onto the bridge exactly 3 seconds after Car Y drove onto the bridge and drove off the bridge exactly 2 seconds after Car Y drove off the bridge.

From statement one, we know that Car X gained 1 second on Car Y while the two cars traveled over the bridge. Thus, Car X took 1 second less than Car Y took to cross the bridge. However, without knowing the actual time it took Car Y to cross the bridge, we still don't know the number of seconds it took Car X to cross it. Statement one alone is insufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Car Y traveled across the bridge at a constant speed of 30 miles per hour.

From statement two we can determine the time it took Car Y to cross the bridge.

time = distance/rate

time = (1/2)/30

time = 1/60 hour

Since 1 hour = 3,600 seconds, 1/60 hour = 3,600 x 1/60 = 60 seconds.

We know that Car Y took 60 seconds to travel across the bridge. However, we do not know anything about Car X, so statement two is insufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Because we know that that Car Y took 60 seconds to travel across the bridge and Car X took 1 second less, we know that it took Car X 59 seconds to travel across the bridge.

The answer is C.
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Re: If Car X followed Car Y across a certain bridge that is 1/2   [#permalink] 30 Jul 2016, 07:38
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