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Abdul, Barb, and Carlos all live on the same straight road, on which t [#permalink]

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16 Jun 2017, 04:34

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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

Re: Abdul, Barb, and Carlos all live on the same straight road, on which t [#permalink]

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16 Jun 2017, 05:23

Since Abdul and Bard are both at the same distance from the School Abdul - School - Barb Since Barb's house is halfway between the School and Carlos's school School - Barb - Carlos Since the school is 4 miles from Carlos's house, School is 2 miles away from the Barb's house. Since Abdul and Barb are at same distance from the School, even Abdul is 2 miles away from school.

Abdul -2- School -2- Barb -2- Carlos

So distance between Abdul's and Carlos's houses are 2+ 2+ 2 = 6km(Option D)
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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

Re: Abdul, Barb, and Carlos all live on the same straight road, on which t [#permalink]

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07 Aug 2017, 09:16

AbdurRakib wrote:

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

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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