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There are two cars. One is 200 miles north of the other. Simultaneousl

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NYCgirl15
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There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   26 Apr 2015, 09:56
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There are two cars. One is 200 miles north of the other. Simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 30 miles per hour. How many miles apart are the cars after 3 hours?


A. 225
B. 250
C. 275
D. 300
E. 350
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Lucky2783
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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   26 Apr 2015, 10:52
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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   26 Apr 2015, 12:27
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Hi NYCgirl15,

GMAT question writers often 'hide' established math 'patterns' into questions, so learning to spot those patterns can create some really nice short-cuts for you on Test Day.

Here, drawing a quick sketch of the 'actions' described will end in a diagonal line that you can "build" a right triangle around:

The right triangle will have a base of 150 and a height of 200. The hidden pattern here is a 3/4/5 right triangle (the 150 lines up with the '3' and the 200 lines up with the '4'). In this way, you can deduce that each side is '50 times' bigger than it's corresponding side:

3/4/5 becomes
150/200/250

Thus the distance between the two cars is the length of the hypotenuse of this larger right triangle...

Final Answer:
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B


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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   24 Oct 2015, 22:13
yes.. made 2 right triangles n then found 2 hypotenus n added it... got 350 :?
should've got 3-4-5 triangle property
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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   25 Oct 2015, 12:24
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Hi Dabhishek,

It's common to make mistakes during your training (that's one of the reasons why you train - to define your 'weak spots' and improve), so you shouldn't get too down on yourself. To properly improve though, you really have to be diligent with your review. With each question that you get wrong (especially if you get them wrong because of silly/little mistakes), you should redo the question from scratch. Do all of the work on the pad and repeat all of the steps. There's a 'mechanical' aspect to working through questions that many Test Takers do not account for. You can build your skills, knowledge, Tactics AND mechanics all at the same time, if you choose to.

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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   07 Apr 2019, 23:59
NYCgirl15 wrote:
There are two cars. One is 200 miles north of the other. Simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 30 miles per hour. How many miles apart are the cars after 3 hours?


A. 225
B. 250
C. 275
D. 300
E. 350



draw figure we get a rectangle figure
width = 200 and length = 150
diagonal = (200)^2+ (150)^2 ; 62500 = 250
IMO B
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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink] New post   15 Dec 2023, 08:20
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Re: There are two cars. One is 200 miles north of the other. Simultaneousl [#permalink]
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