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# In a 200 meter race on a straight track, A was the winner and C finish

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Manager
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In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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04 Dec 2014, 02:51
1
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00:00

Difficulty:

65% (hard)

Question Stats:

64% (02:27) correct 36% (02:20) wrong based on 306 sessions

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In a 200 meter race on a straight track, A was the winner and C finished second. Who among the remaining two contestants, B and D, finished third

(1) A beat B by 14 seconds. C beat D by 12 meters

(2) A finished the race in 25 seconds. D finished 20 meters behind A.

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In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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04 Dec 2014, 05:26
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desaichinmay22 wrote:
In a 200 meter race on a straight track, A was the winner and C finished second. Who among the remaining two contestants, B and D, finished third

(1) A beat B by 14 seconds. C beat D by 12 meters

(2) A finished the race in 25 seconds. D finished 20 meters behind A.

st.1 not sufficient. as any of the B and D can be the winner.

st.2 we can calculate speed of A = 200/25 = 8m/sec and speed of D = 180/25=7.2 why ?? because the time in which a finish 200 m, d covers only 200-20=180m

As nothing is mentioned about the speed of B, thus this statement alone is not sufficient.

combining 1 and 2

since a beat b by 14 seconds. thus time taken by b to cover 200 meter will be 25+14 sec. =39 secs
thus speed of b= 200/39 ~5 m/s

as speed of b is less than speed of D. thus D finishes third.
##### General Discussion
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Re: In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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30 Dec 2014, 08:47
I answered E because nowhere does it say that the speeds of B and D are constant. Is this some kind of fair assumption?
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In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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30 Dec 2014, 08:55
I guess if you assume a usual race, it is pretty clear that B finished last, more or less 10 seconds after D. However, the stem does not say, that D did not break down with cramps .5 seconds after C finished the race. Though it might be unlikely, but the information provided in the stem does not allow a 100% clear conclusion who actually finished third.

Where is that question actually from? I suppose you are unlikely to come across such a question in the GMAT, since they are usually super correct about logical conclusions and inference of new information from provided information.
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Re: In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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17 May 2015, 01:37
dubious314 wrote:
I answered E because nowhere does it say that the speeds of B and D are constant. Is this some kind of fair assumption?

I DOUBT THE SAME.
I HAVE CHOSEN E FOR SAME REASON.
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Re: In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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30 May 2017, 14:12
I believe we have to assume that speeds are constant in order to convert meters in secondes or vice-versa
(1) alone is clearly not sufficent
(2) gives the speed of A,as 8 meter per seconde. so D finished 2.5 sec after A. Alone the statement is clearly not sufficient.

combined, B finished 14 sec after A and D finished 2.5 sec after A. Therefore D finished before B.

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Re: In a 200 meter race on a straight track, A was the winner and C finish  [#permalink]

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24 Jan 2019, 22:29
desaichinmay22 wrote:
In a 200 meter race on a straight track, A was the winner and C finished second. Who among the remaining two contestants, B and D, finished third

(1) A beat B by 14 seconds. C beat D by 12 meters

(2) A finished the race in 25 seconds. D finished 20 meters behind A.

Now in this race A and C were first and second respectively

(2) A finished the race in 25 seconds. D finished 20 meters behind A.
This one was easy to prove insufficient. Now from this statement you can get the rate of A as 8 m /sec

But position of D can be before B or after B.

(1) A beat B by 14 seconds. C beat D by 12 meters
Now from this statement i dont know the difference between their speeds, what if B could have covered distance less than D, less than 12

Lets Combine both the statements,
speed of A = 8 m/sec

B will be at 88 m when A would have completed the race

C came second and Beat D by 12 meters and D was 20 meters behind A

IMO D came third then.

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Re: In a 200 meter race on a straight track, A was the winner and C finish   [#permalink] 24 Jan 2019, 22:29
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