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Carlotta can drive from her home to her office by one of two

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Carlotta can drive from her home to her office by one of two  [#permalink]

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New post Updated on: 24 Feb 2014, 05:56
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Carlotta can drive from her home to her office by one of two possible routes. If she must also return by one of these routes, what is the distance of the shorter route?

(1) When she drives from her home to her office by the shorter route and returns by the longer route, she drives a total of 42 kilometers.

(2) When she drives both ways, from her home to her office and back, by the longer route, she drives a total of 46 kilometers.

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Originally posted by seabhi on 24 Feb 2014, 05:26.
Last edited by Bunuel on 24 Feb 2014, 05:56, edited 1 time in total.
Edited the question.
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Re: Carlotta can drive from her home to her office by one of two  [#permalink]

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New post 24 Feb 2014, 05:59
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Carlotta can drive from her home to her office by one of two possible routes. If she must also return by one of these routes, what is the distance of the shorter route?

(1) When she drives from her home to her office by the shorter route and returns by the longer route, she drives a total of 42 kilometers --> S + L = 42. Not sufficient.

(2) When she drives both ways, from her home to her office and back, by the longer route, she drives a total of 46 kilometers --> L + L = 46 --> L = 23 kilometers. Not sufficient.

(1)+(2) Since from (2) L = 23 kilometers, then from (1) S + 23 = 42 --> S = 19 kilometers. Sufficient.

Answer: C.
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Re: Carlotta can drive from her home to her office by one of two  [#permalink]

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New post 24 Feb 2014, 09:50
Option C.
From S1:we can infer than Short+Long=42kms or
Shorter will be less than 21 kms and longer more than 21 kms.
Not suff.

From S2:Long route=46/2=23kms.
Still short route can't be found out.Not suff.

Combining the 2 statements:s+l=42
And l=23kms
S=19kms
Both are together suff.

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Re: Carlotta can drive from her home to her office by one of two  [#permalink]

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New post 18 May 2014, 09:20
L -longer route, S- shorter route
st(2) implies Carlotta *from her home to her office and back* (interpretation after comma). She drives 2L=46
Combined st(1&2): L+S=42 and 2L=46 Sufficient
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Re: Carlotta can drive from her home to her office by one of two  [#permalink]

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Re: Carlotta can drive from her home to her office by one of two &nbs [#permalink] 11 Sep 2018, 11:14
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