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Stephanie, Regine, and Brian ran a 20 mile race. Stephanie

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Location: United States (IL)
Concentration: Finance, Economics
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WE: General Management (Transportation)
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Re: Stephanie, Regine, and Brian ran a 20 mile race. Stephanie  [#permalink]

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New post 27 Mar 2016, 20:24
tricky one...definitely D.
i made the mistake to assume that if B won, then the time combined for the girls is 4.5hours..but no one finished faster than in 2.5 hours..so B for sure did not win the race.
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Stephanie, Regine, and Brian ran a 20 mile race. Stephanie  [#permalink]

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New post 08 Jan 2018, 19:07
I feel an algebraic solution makes it crystal clear as to why Brian can never win.

The minimum time it takes Stephanie is 2.5 So let her actual time be 2.5+x where x is 0 or greater.
The time it takes Regine is 2.5 +y where y is 0 or greater. So the time it takes Brian is 3+x+y

Now let's compare 2.5+x to 3+x+y

After some manipulation we obatin
0 compared to Brian's time of y+1/2.

Now y+1/2 will ALWAYS be greater than 0 since y is 0 at a minimum. We can do the same thing with Regine's time. So what this tells us is that Brian will actually always finish behind both Stephanie and Regine by a minimum of 1/2 an hour.
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie &nbs [#permalink] 08 Jan 2018, 19:07

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