Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Apr 2015, 16:28

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The distance from X to Y is 20 miles, and the distance from

Author Message
TAGS:
Manager
Joined: 28 Apr 2003
Posts: 95
Location: Singapore
Followers: 1

Kudos [?]: 0 [0], given: 0

The distance from X to Y is 20 miles, and the distance from [#permalink]  03 May 2003, 16:49
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:57) correct 19% (00:51) wrong based on 36 sessions
The distance from X to Y is 20 miles, and the distance from X to Z is 12 miles. If d is the distance, in miles, between Y and Z, then d is indicated by:

A. 8 ≤ d ≤ 20
B. 8 ≤ d ≤ 32
C. 12 ≤ d ≤ 20
D. 12 ≤ d ≤ 32
E. 20 ≤ d ≤ 32
[Reveal] Spoiler: OA
Manager
Joined: 12 Mar 2003
Posts: 59
Followers: 1

Kudos [?]: 1 [0], given: 0

B,

Min is 8 Max is 12+20=32
Manager
Joined: 28 Apr 2003
Posts: 95
Location: Singapore
Followers: 1

Kudos [?]: 0 [0], given: 0

Correct.

tzolkin, could you explain why min is 8, e.g. 20-12, and max is 32?

Thanks.
Intern
Joined: 13 May 2003
Posts: 6
Location: Portland, USA
Followers: 0

Kudos [?]: 1 [1] , given: 0

1
KUDOS
Side YZ of triangle XYZ is the distance between the towns Y and Z.

YZ is shortest when angle YXZ approaches 0, i.e, XZ almost overlaps XY
In this case, since Z is a point on XY,

YZ = XY - YZ = 20 - 12 = 8

YZ is longest when angle YXZ approaches 180, i.e, XZ extends outwards in a straight line from XY

In this case,

YZ = XY + YZ = 20 + 12 = 32
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 344 [0], given: 1

The distance from X to Y is 20 miles, and the distance from [#permalink]  09 Oct 2008, 05:08
The distance from X to Y is 20 miles, and the distance from X to Z is 12 miles. If d is the distance, in miles, between Y and Z, then d is indicated by:

A. 8 ≤ d ≤ 20
B. 8≤ d ≤ 32
C. 12≤d ≤ 20
D. 12≤d ≤ 32
E. 20 ≤d ≤32
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Manager
Joined: 22 Sep 2008
Posts: 124
Followers: 1

Kudos [?]: 38 [1] , given: 0

Re: PS: Distance Trouble [#permalink]  09 Oct 2008, 05:12
1
KUDOS
IMO B:

we have two poss. here
1: z-x-y (12-0-20) = 32

2: x-z-y (0-12-8) = 20

so distance min. distance will be 8 and max distance will be 32

8<= d <= 32
Intern
Joined: 15 Aug 2008
Posts: 19
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: PS: Distance Trouble [#permalink]  09 Oct 2008, 15:15
the sum of any two sides of a triangle is greater that the third side.

side X-Y = 20
side X-Z = 12

Y-Z , distance d, shouldn't be equal to nether 8 nor 32 becuase:
12+8 is not > 20
20+12 is not > 32

SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 111 [0], given: 39

Re: PS: Distance Trouble [#permalink]  10 Oct 2008, 04:00
amitdgr wrote:
The distance from X to Y is 20 miles, and the distance from X to Z is 12 miles. If d is the distance, in miles, between Y and Z, then d is indicated by:

A. 8 ≤ d ≤ 20
B. 8≤ d ≤ 32
C. 12≤d ≤ 20
D. 12≤d ≤ 32
E. 20 ≤d ≤32

x.........z..............y

z........x.................y

y.............z.......x

b
Manager
Joined: 21 May 2008
Posts: 85
Followers: 1

Kudos [?]: 0 [0], given: 4

Re: PS: Distance Trouble [#permalink]  10 Oct 2008, 06:13
Draw two perimeters around X with radii 12 (distance to Z) and 20 (distance to Y).
Hence min distance is 8 and max distance is 32.
Senior Manager
Joined: 21 Apr 2008
Posts: 270
Location: Motortown
Followers: 1

Kudos [?]: 99 [0], given: 0

Re: PS: Distance Trouble [#permalink]  31 Oct 2008, 16:55
B

Draw a cirlce with center X and radius Z
SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 202 [0], given: 0

Re: PS: Distance Trouble [#permalink]  01 Nov 2008, 12:53
Another approach: Look at three points as forming a triangle. Third side of triangle will be >= difference between the two sides and <= sum of two sides.

Hence, 20-8 <= d <= 20+12.
Intern
Joined: 03 Mar 2008
Posts: 48
Followers: 1

Kudos [?]: 5 [0], given: 0

Re: PS: Distance Trouble [#permalink]  02 Nov 2008, 22:35
scthakur wrote:
Another approach: Look at three points as forming a triangle. Third side of triangle will be >= difference between the two sides and <= sum of two sides.

Hence, 20-8 <= d <= 20+12.

Caution !
Third side of the triangle will be greater than the difference between the two sides and less than the sum of two sides. (Not >= or <=)
In this case, it is not mentioned that the 3 points are not on the same line. Hence the '=' scenario comes into play.
SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 202 [0], given: 0

Re: PS: Distance Trouble [#permalink]  02 Nov 2008, 22:43
kandyhot27 wrote:
scthakur wrote:
Another approach: Look at three points as forming a triangle. Third side of triangle will be >= difference between the two sides and <= sum of two sides.

Hence, 20-8 <= d <= 20+12.

Caution !
Third side of the triangle will be greater than the difference between the two sides and less than the sum of two sides. (Not >= or <=)
In this case, it is not mentioned that the 3 points are not on the same line. Hence the '=' scenario comes into play.

Good point. Thanks for pointing out. When the area of triangle becomes zero, all the three vertices lie on a straight line and then only equality sign will hold true.
Re: PS: Distance Trouble   [#permalink] 02 Nov 2008, 22:43
Similar topics Replies Last post
Similar
Topics:
3 Mischa drove from A to B, a distance of 100 miles 3 25 Aug 2014, 02:51
4 One hour after Matthew started waking from x to y, a distanc 13 08 Jan 2013, 13:45
2 A train travels from Albany to Syracuse, a distance of 120 miles, at 5 13 Aug 2011, 06:46
1 What is the value of x? (i) Distance of x from y is the same 13 22 Jan 2011, 05:14
3 The distance from the X-axis to point P is half the distance 5 26 Dec 2009, 16:11
Display posts from previous: Sort by