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Stephanie, Regine, and Brian

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Manager
Manager
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Joined: 05 Jan 2011
Posts: 178
Followers: 3

Kudos [?]: 32 [0], given: 8

Stephanie, Regine, and Brian [#permalink] New post 15 Mar 2011, 21:47
00:00
A
B
C
D
E

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Question Stats:

0% (00:00) correct 100% (00:51) wrong based on 4 sessions
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
 
I. Stephanie             II. Regine             III. Brian
(A) I only
(B) II only
(C) III only
(D) I or II only
(E) I, II, or III


Manager
Manager
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Joined: 14 Feb 2011
Posts: 198
Followers: 4

Kudos [?]: 63 [0], given: 3

Re: Stephanie, Regine, and Brian [#permalink] New post 15 Mar 2011, 22:29
Onell wrote:
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
 
I. Stephanie             II. Regine             III. Brian
(A) I only
(B) II only
(C) III only
(D) I or II only
(E) I, II, or III




We are given that S+R = B+2 (where S, R and B represent Stephanie, Regine, and Brian respectively)

Also, minimum value of S,R and B is 20/8 = 2.5

Clearly if S and R are at minimum value of 2.5, B has to be a minimum of 3 and hence has to be slower than S and/or R. For all value of S and R greater than 2.5, B will be slower than at least one of S or R and hence B cant win the race. Between S and R there is nothing to distinguish as they are interchangeable in the given equation, so any of them can win the race.

Answer D
Director
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Kudos [?]: 251 [0], given: 32

Re: Stephanie, Regine, and Brian [#permalink] New post 15 Mar 2011, 22:39
Minimum value of time for each the three = 20/8= 2.5 hrs
S+R=B+2
2.5+.25=B+2
B (Brian)=3

S and R will have greater value than B. So B could not win the race. Ans. D
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Manager
Manager
avatar
Joined: 05 Jan 2011
Posts: 178
Followers: 3

Kudos [?]: 32 [0], given: 8

Re: Stephanie, Regine, and Brian [#permalink] New post 15 Mar 2011, 23:00
Baten80 wrote:
Minimum value of time for each the three = 20/8= 2.5 hrs
S+R=B+2
2.5+.25=B+2
B (Brian)=3

S and R will have greater value than B. So B could not win the race. Ans. D



Thanks guys for your help
Re: Stephanie, Regine, and Brian   [#permalink] 15 Mar 2011, 23:00
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