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# During a car trip, Maria stopped to rest after she traveled 1/2 of the

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During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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28 Apr 2010, 07:16
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During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?

A. 280
B. 320
C. 360
D. 420
E. 480
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Jul 2016, 01:10, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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28 Apr 2010, 07:24
$$x/2 +x/2 * 1/4 +120 = x$$

$$x=320$$

So "B"
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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28 Apr 2010, 07:31
Thanks Hussain, the trap is if we over look reading "remaining distance" in the statement we will end up with 480 as answer.
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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17 Oct 2011, 11:35

3/4 ( x/2) = 120
x = 120 * 8 /3 = 320.
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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30 Jul 2016, 13:02
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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31 Jul 2016, 01:11
zz0vlb wrote:
During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?

A. 280
B. 320
C. 360
D. 420
E. 480

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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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26 Sep 2016, 22:43
1x/2 + (1/4)(1x/2) = 5x/8 = total distance traveled so far
remaining distance = 3x/8 = 120 => x = 320 kms
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink]

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27 Sep 2016, 03:39
Remaining distance after second stop = 3/4 *(x/2) = 120

Solving for X = 320

Option B.
Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the   [#permalink] 27 Sep 2016, 03:39
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