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

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zz0vlb
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During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   Updated on: 31 Jul 2016, 02:10
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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
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B

Originally posted by zz0vlb on 28 Apr 2010, 08:16.
Last edited by Bunuel on 31 Jul 2016, 02:10, 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] New post   28 Apr 2010, 08:24
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\(x/2 +x/2 * 1/4 +120 = x\)

\(x=320\)

So "B"
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   28 Apr 2010, 08:31
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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] New post   17 Oct 2011, 12:35
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Easy 320 is the answer.

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] New post   31 Jul 2016, 02:11
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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


Similar question to practice: on-her-annual-road-trip-to-visit-her-family-in-seal-beach-california-191449.html
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   26 Sep 2016, 23:43
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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] New post   27 Sep 2016, 04:39
Remaining distance after second stop = 3/4 *(x/2) = 120

Solving for X = 320

Option B.
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   01 Aug 2018, 16:31
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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


We can let n = total distance and create the equation:

n/2 + 1/4(n/2) + 120 = n

n/2 + n/8 + 120 = n

Multiplying by 8 we have:

4n + n + 960 = 8n

960 = 3n

320 = n

Answer: B
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   05 Aug 2018, 06:05
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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


Using answer choices:

Start with B = 320 miles

Total distance = 320 miles

Half distance = 160 miles

Remaining = 160 miles

1/4th of 160 = 40 miles

160 + 40 = 200 miles

Remaining final distance = 120 miles -----> perfect match

Hence (B)
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   29 Sep 2020, 04:06
Let total distance = D miles.

Then, the total distance is given by the sum of the three intermediate distances travelled = (D/2) + (D/8) + (3D/8)

We are told that the last intermediate distance travelled is equal to 120 miles.

3D/8 = 120 or, D = 320 miles

ANSWER: (B)

Note: We know that the total distance will be a multiple of 8 (= 2*4). So we can eliminate answer choices (A), (C) and (D). If pressed for time, we can just choose one of the two remaining answer choices and use the "plug-in" method to arrive at the correct answer (B).
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Re: During a car trip, Maria stopped to rest after she traveled 1/2 of the [#permalink] New post   23 Jan 2023, 02:42
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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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