It is currently 17 Oct 2017, 15:34

### 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

# On level farmland, two runners leave at the same time from

Author Message
TAGS:

### Hide Tags

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1043 [0], given: 4

Location: New York City
On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

02 Jun 2007, 17:59
2
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:32) correct 29% (01:37) wrong based on 299 sessions

### HideShow timer Statistics

9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
(A) 6
(B) 7
(C) 8
(D) 12
(E) 14
[Reveal] Spoiler: OA

Kudos [?]: 1043 [0], given: 4

MBA Section Director
Status: Back to work...
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 4699

Kudos [?]: 3702 [1], given: 2420

Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
Re: On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

18 Mar 2014, 23:37
1
KUDOS
Expert's post
lanka1 wrote:
On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after hour ?

(A) 6
(B) 7
(C) 8
(D) 12
(E) 14

There was an error in the question posted originally. It is actually asking for the distance between two runners after 1/2 hour travel at their respective directions. I have corrected the error. Choice B is the Answer.
_________________

Kudos [?]: 3702 [1], given: 2420

CEO
Joined: 17 May 2007
Posts: 2947

Kudos [?]: 666 [0], given: 210

### Show Tags

02 Jun 2007, 18:05
If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.

Side 1 = 8 m/h --> 4 m in 1/2 hr
Side 2 = 12 m/h --> 6 m in 1/2 hr

to complete this right angle triangle
d^2 = 4^2 + 6^2
d^2 = 52
= 2 sqrt(13) ~ 7

Kudos [?]: 666 [0], given: 210

Director
Joined: 25 Oct 2006
Posts: 635

Kudos [?]: 636 [0], given: 6

### Show Tags

02 Jun 2007, 18:10
Let ABC is a right angle triangle, and angle ABC is 90 degree, So, first one is going through AB and achieved 4miles whereas the person on BC achieves 6 miles in half an hour,

Now sqrt(4^2 + 6^2) = nearest distance ~ 7 B.

Kudos [?]: 636 [0], given: 6

Intern
Joined: 29 Apr 2010
Posts: 2

Kudos [?]: 2 [0], given: 0

On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

29 Apr 2010, 05:07
On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after $$\frac{1}{2}$$ hour ?

(A) 6
(B) 7
(C) 8
(D) 12
(E) 14

Last edited by Narenn on 18 Mar 2014, 23:38, edited 1 time in total.
Question stem corrected

Kudos [?]: 2 [0], given: 0

Senior Manager
Joined: 30 Aug 2009
Posts: 283

Kudos [?]: 188 [0], given: 5

Location: India
Concentration: General Management

### Show Tags

29 Apr 2010, 05:47
lanka1 wrote:
On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after hour ?
(A) 6
(B) 7
(C) 8
(D) 12
(E) 14

is the question correct as none of the options seem fit??

Kudos [?]: 188 [0], given: 5

Intern
Joined: 03 Jan 2010
Posts: 7

Kudos [?]: 2 [0], given: 1

### Show Tags

29 Apr 2010, 06:14
We need to find root (8^2 + 12^2) = root(208)
Since 208 is closer to 196, which is 14^2, my answer is 14 miles corrected to the nearest mile.

Option
[Reveal] Spoiler:
E
.

Kudos [?]: 2 [0], given: 1

Intern
Joined: 10 Apr 2010
Posts: 4

Kudos [?]: 2 [0], given: 0

### Show Tags

29 Apr 2010, 08:06
1st Runner; 8mph North
2nd Runner; 1st Runner+4mph = 12mph East.

After an hr, 1st runner and 2nd runner will reach 8m and 12m respectively from the intersection they started. Because they ran North and East, their path forms a right angle and hence distance between them would be hypotenuse, which is sqrt(8*8+12*12) = sqrt(208), which is close to 14 (sqrt of 196).

Kudos [?]: 2 [0], given: 0

Intern
Joined: 17 Dec 2013
Posts: 1

Kudos [?]: [0], given: 16

Re: On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

16 Mar 2014, 10:25
The answer is B since they are asking about the distance after half an hr. 14/2 = 7

Kudos [?]: [0], given: 16

Intern
Joined: 27 Sep 2013
Posts: 17

Kudos [?]: 8 [0], given: 0

Location: Netherlands
Re: On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

18 Mar 2014, 13:27
Correct the question pleas

Kudos [?]: 8 [0], given: 0

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2616 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: On level farmland, two runners leave at the same time from [#permalink]

### Show Tags

19 Mar 2014, 20:46
Distance covered

= $$\sqrt{4^2 + 6^2}$$

= $$\sqrt{52}$$

= 7 (Approx) = Answer = B
Attachments

des.jpg [ 8.41 KiB | Viewed 3533 times ]

_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2616 [0], given: 193

Re: On level farmland, two runners leave at the same time from   [#permalink] 19 Mar 2014, 20:46
Display posts from previous: Sort by