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

 It is currently 03 May 2015, 03:28

### 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

# City B is 5 miles east of the city A, city C is 10 miles

Author Message
TAGS:
Senior Manager
Joined: 18 Jun 2007
Posts: 296
Followers: 2

Kudos [?]: 32 [0], given: 0

City B is 5 miles east of the city A, city C is 10 miles [#permalink]  02 Feb 2008, 11:22
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
1. City B is 5 miles east of the city A, city C is 10 miles southeast of city B. Which of the following is the closest to the distance from city A to city C?

A. 11 miles
B. 12 miles
C. 13 miles
D. 14 miles
E. 15 miles
Director
Joined: 12 Jul 2007
Posts: 865
Followers: 12

Kudos [?]: 218 [0], given: 0

Re: PS: [#permalink]  02 Feb 2008, 11:31
Without doing any real math I'd hazard a guess of C. 13

If this happens to be correct I'll explain my "logic"
Manager
Joined: 02 Jan 2008
Posts: 159
Followers: 2

Kudos [?]: 69 [0], given: 0

Re: PS: [#permalink]  02 Feb 2008, 11:55
C south of B would have given closest A-C distance as $$5sqrt5$$~11.15 miles. But C is south East of B, so lets move C a bit right and go for the next higher number 12

I am correcting it now.. the answer is 14

C has to be moved 45 deg away from the south

which means we have a right triangle, with base as 5+sqrt50 and height as sqrt50, the hypnoteuse we need to find.

sqrt(25+50+50+10sqrt50) = ~14
Manager
Joined: 19 Sep 2007
Posts: 185
Schools: University of Michigan - Ross 2010
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: PS: [#permalink]  04 Feb 2008, 12:54

1) 10 miles southeast of B means 45 a degree angle from the origin towards the 3rd quadrant.
2) The diagonal is 10, and the angle is 45, so we have an isosceles right triangle. With sides 10, 10/√2,10/√2 = 10,7,7 (approximation)
3) This makes the horizontal distance from A to C = 5+7=12
4) Vertical distance is still 7 (10/√2)
5) Poblem turns into H^2= 12^2+7^2 ------ = √(144+49)
6) 13.90 ---- = 14
Director
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 139 [0], given: 1

Re: PS: [#permalink]  04 Feb 2008, 13:35
sqrt([sqrt(10)/2]^2 + [sqrt(10)/2+5]^2) close to 14 -> D
Re: PS:   [#permalink] 04 Feb 2008, 13:35
Similar topics Replies Last post
Similar
Topics:
2 How far in miles is city A from city B? 4 11 Feb 2012, 04:10
3 City B is 5 miles east of City A. City C is 10 miles south 4 27 Feb 2011, 03:08
City B is 5 miles east of the city A, city C is 10 miles 9 02 Feb 2008, 11:22
Train X traveled 250miles from the city A to the city B. At 7 27 Jul 2007, 09:34
Certain car averages 25 miles/gal in the city and 40 2 15 Jul 2006, 15:06
Display posts from previous: Sort by