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Sub 505 Level|   Geometry|   Word Problems|                     
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AbdurRakib
Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul’s house and Barb’s house. Barb’s house is halfway between the school and Carlos’s house. If the school is 4 miles from Carlos’s house, how many miles is Abdul’s house from Carlos’s house?
A. \(1{}^1/_3\)
B. 2
C. 4
D. 6
E. 8

The school is halfway between Abdul’s house and Barb’s house.
Sketch it to get: A--------S--------B
Aside: The distances between A and S and between S and B are EQUAL


Barb’s house is halfway between the school and Carlos’s house.
Add Carlos's house to drawing: A--------S--------B--------C
Aside: All 3 distances are EQUAL

If the school is 4 miles from Carlos’s house...
A--------S--------B--------C
So, the two RED distances add to 4 miles
Since those two distances are EQUAL, each distance must equal 2 miles.
That is: A----2miles----S----2miles----B----2miles----C

...how many miles is Abdul’s house from Carlos’s house?
The distance = 6 miles

Answer:
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AbdurRakib
Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul’s house and Barb’s house. Barb’s house is halfway between the school and Carlos’s house. If the school is 4 miles from Carlos’s house, how many miles is Abdul’s house from Carlos’s house?
A. \(1{}^1/_3\)
B. 2
C. 4
D. 6
E. 8

Abdul----School----Barb----Carlos
=====x=======x====-===x=====
The distance between Abdul and School, School and Barb and Barb and Carlos is the same. Let x signify the distance.
=>2x = 4
=> x = 2
So Abdul's house from Carlos's house = 3x = 3*2 = 6

D is the answer.
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AbdurRakib
Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul’s house and Barb’s house. Barb’s house is halfway between the school and Carlos’s house. If the school is 4 miles from Carlos’s house, how many miles is Abdul’s house from Carlos’s house?
A. \(1{}^1/_3\)
B. 2
C. 4
D. 6
E. 8

Since the school is 4 miles from Carlos’s house, and Barb’s house is halfway between the school and Carlos’s house, Barb’s house is 2 miles from the school.

Since the school is halfway between Abdul’s house and Barb’s house, the school is 2 miles from Abdul’s house.

Thus, Abdul’s house is 2 + 4 = 6 miles from Carlos’s house.

Answer: D
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Abdul-------School-------Barb-------Carlos
Carlos is 4 miles away from school
and distance between Abdul,School,Barb and Carlos is same and assume it is X
therefore 2X=4
X=2
Distance between Abdul and Carlos is 3X ie 6 Miles
Answer D
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Video solution from Quant Reasoning:
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AbdurRakib
Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul’s house and Barb’s house. Barb’s house is halfway between the school and Carlos’s house. If the school is 4 miles from Carlos’s house, how many miles is Abdul’s house from Carlos’s house?



A. \(1\frac{1}{3}\)

B. 2

C. 4

D. 6

E. 8

Answer: Option D

Video solution by GMATinsight

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