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On a map, 1/2 inch represents 100 miles. According to this map, how ma

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
Bunuel wrote:
On a map, 1/2 inch represents 100 miles. According to this map, how many miles is City X from City Y ?

(1) City X is 3 inches from City Y on the map.
(2) Cities X and Y are each 300 miles from City Z.

DS45602.01
OG2020 NEW QUESTION

given 1 inch - 200 miles
#1
city x from city y ; distance ; 3*200 ; 600 miles
sufficeint
#2
not sufficient city z info irrelavant
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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
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Bunuel wrote:
On a map, 1/2 inch represents 100 miles. According to this map, how many miles is City X from City Y ?

(1) City X is 3 inches from City Y on the map.
(2) Cities X and Y are each 300 miles from City Z.

DS45602.01
OG2020 NEW QUESTION

Since 1/2 inch = 100 miles, 1 inch = 200 miles. If we know the number of inches between cities X and Y on the map, then we know the actual distance between cities X and Y.

Statement One Alone:

City X is 3 inches from City Y on the map.

Since City X is 3 inches from City Y on the map, City X is actually 600 miles from City Y.

Statement one alone is sufficient to answer the question.

Statement Two Alone:

Cities X and Y are each 300 miles from City Z.

We know the distance between X and Z and the distance between Y and Z; however we don’t know how these cities are positioned relative to each other. For instance, if the three cities are on a line and Z is between X and Y, then the distance between X and Y is 600 miles. On the other hand, if the three cities are not on a line and the triangle formed by these three cities is an equilateral triangle, then the distance between X and Y is also 300 miles. Statement two alone is not sufficient to answer the question.

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
1
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Hi All,

We're told that on a map, 1/2 inch represents 100 miles. We're asked - according to this map - how many miles is City X from City Y. This question is based around the idea of 'unit conversions' (which is really just basic Arithmetic. The prompt gives us the ratio of map-inches to miles (re: 1/2 inch = 100 miles, so 1 inch = 200 miles). Thus, to answer this question, we need to know how many inches apart the two cities are.

(1) City X is 3 inches from City Y on the map.

Fact 1 gives us exactly what we need to know to answer the question. 3 inches = 600 miles, so the cities are 600 miles apart.
Fact 1 is SUFFICIENT

(2) Cities X and Y are each 300 miles from City Z.

The information in Fact 2 essentially creates a circle with City Z in the center and City X and City Y a 'radius' of 300 miles away. As such, the distance between City X and City Y could as far as 600 miles (if they're on exact opposite radii from City Z) or right next to one another.
Fact 2 is INSUFFICIENT

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
given 1/2inch = 100 miles. Find distance of x to y in miles.

a) distance of x to y is 3 inch = 6*1/2 = 6*100 = 600 miles( Sufficient, cancel BCE)

b) city X & y are 300 each from city z. with this information, we cannot calculate distance between x & y. different values are possible. Not sufficient (Cancel D)

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
Map
1/2 inch = 100 miles

St. 1:
City X is 3 inches from City Y on the map.
=> 3 inches on the map = 600 miles

St. 1 is sufficient

St. 2:
Cities X and Y are each 300 miles from City Z
=> This is unrelated to the map, and we have no information about the orientation about the Cities.

St. 2 is insufficient

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
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Bunuel wrote:
On a map, 1/2 inch represents 100 miles. According to this map, how many miles is City X from City Y ?

(1) City X is 3 inches from City Y on the map.
(2) Cities X and Y are each 300 miles from City Z.

DS45602.01
OG2020 NEW QUESTION

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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
Video solution from Quant Reasoning:
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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
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Re: On a map, 1/2 inch represents 100 miles. According to this map, how ma [#permalink]
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