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Manager
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21 Apr 2007, 14:15
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During a car trip, Maria stopped to rest after she traveled ┬╜ of the total distance to here destination. She stopped again after she traveled ┬╝ of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from MariaтАЩs starting point to her destination?

a)280
b)320
c)360
d)420
e)480
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21 Apr 2007, 14:42
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GMAT_700 wrote:
Thanks

During a car trip, Maria stopped to rest after she traveled ┬╜ of the total distance to here destination. She stopped again after she traveled ┬╝ of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from MariaтАЩs starting point to her destination?

a)280
b)320
c)360
d)420
e)480

I'm going to take a stab at this one.

Let x = the total number of miles on Maria's trip

.5x = the first half of the trip that she drove before her 1st stop
.5(.25) = .125x = the distance she travelled before her 2nd stop
120 miles = the total number of miles she drove to the destination

You can approach this problem one of two ways: algebraically, and intuitively.

Since we know that 120 miles = 3/4 of 1/2 of the trip (or 3/8ths of the entire trip: 3/4 * 1/2), we can understand that 160 miles is equal to one half of the entire trip. Multiply 160 miles by 2 (2 halves of the trip) and you'll get 320.

You can also solve this algebraically:

.5x + .125x + 120 = x
.625x + 120 = x
120 = .375x
x = 320

Correct answer choice is B: 320.

Regards,
Alex
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21 Apr 2007, 20:13
this is quite easy.. and took me 10s..

half the trip.. then 1/4 of half..

so i kinda drew a line with dots on it.. kinds like

I--I--I--I--H--B--I--I--I

the H was the first stop

B was the second.. so if u divide it into 2 quarters.. and 120 was from B to the end.. that is 3 quarters.. u can divide 120/3
that is 40 than times 8 (for 8 quarters) and u get the answer... 320
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22 Apr 2007, 04:15
let the total distance = d

from the question: d/2 + d/8 +120 = d
d =320.
Senior Manager
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22 Apr 2007, 07:49
GMAT_700 wrote:
Thanks

During a car trip, Maria stopped to rest after she traveled ┬╜ of the total distance to here destination. She stopped again after she traveled ┬╝ of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from MariaтАЩs starting point to her destination?

a)280
b)320
c)360
d)420
e)480

Let x be the total distance.From the question stem we have 1/2 * x(the distance maria still have to travel), (1/2)*(3/4)*x=120. Therefore x=320. Hence answere is B.

Javed.

Cheers!
Senior Manager
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11 Jul 2011, 02:53
I have attached a picture of what I have understood . Please tell me where m interpretation is wrong.

The question says :

She stopped again after she traveled 1/4 of the distance remaining between her stop and her destination, and then she drove the remaining 120 miles to her destination.

It says she stopped after she travvel 1/4 of the distaince remaining betweeb her stop and her destination means she was just 1/4th of distance away from her destination and that is 120 miles (as the stmt says then she drive 120 miles)

P.S The word 'remaining' creates a lot of confusion...whether the distance is from the midpoint or from her destination

Attachment:

maria.jpg [ 23.07 KiB | Viewed 2063 times ]
Intern
Joined: 01 Mar 2006
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11 Jul 2011, 20:50
Why is that I can see the fractions normally ? Can anyone tell me how to install the right package?
Thanks !
Senior Manager
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06 Nov 2011, 11:12
siddhans wrote:
I have attached a picture of what I have understood . Please tell me where m interpretation is wrong.

The question says :

She stopped again after she traveled 1/4 of the distance remaining between her stop and her destination, and then she drove the remaining 120 miles to her destination.

It says she stopped after she travvel 1/4 of the distaince remaining betweeb her stop and her destination means she was just 1/4th of distance away from her destination and that is 120 miles (as the stmt says then she drive 120 miles)

P.S The word 'remaining' creates a lot of confusion...whether the distance is from the midpoint or from her destination

Attachment:
maria.jpg

The question says " She stopped again after she traveled 1/4 of the distance remaining (note the word remaining )between her fist stop and her destination. Doesnt that mean the 1/4th of the distance is from the final destination and not from her first stop ??? Can you please explain ?
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