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# A boat travels due east for 3 kilometers, makes a right turn and heads

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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20 Nov 2018, 00:36
00:00

Difficulty:

25% (medium)

Question Stats:

81% (02:04) correct 19% (02:51) wrong based on 57 sessions

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A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?

A. 10
B. 11
C. 13
D. 15
E. 17

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Posts: 4242
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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20 Nov 2018, 06:44
1
Bunuel wrote:
A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?

A. 10
B. 11
C. 13
D. 15
E. 17

Draw the given information on graph we would end up getting a relation : 9^2+ 12^2= sq rt 225= 15 option D
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Intern
Joined: 19 Nov 2018
Posts: 3
Re: A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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20 Nov 2018, 23:15
once you draw the route . you will notice that when you join the starting point and the ending point of the boat it turns out to me the hypotenuse of a larger right angled triangle whose legs are 12 km (height ) and 9 km (base) . so using Pythagorean theorem the distance needed would be 15 kms .
Intern
Joined: 24 Jan 2017
Posts: 10
Re: A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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19 Dec 2018, 09:08
Archit3110 wrote:
Bunuel wrote:
A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?

A. 10
B. 11
C. 13
D. 15
E. 17

Draw the given information on graph we would end up getting a relation : 9^2+ 12^2= sq rt 225= 15 option D

Could you please share the graph/picture? Mine is coming out to be two triangles, kind of a rhombus.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4242
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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19 Dec 2018, 10:02
1
seeker14 wrote:
Archit3110 wrote:
Bunuel wrote:
A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?

A. 10
B. 11
C. 13
D. 15
E. 17

Draw the given information on graph we would end up getting a relation : 9^2+ 12^2= sq rt 225= 15 option D

Could you please share the graph/picture? Mine is coming out to be two triangles, kind of a rhombus.

Posted from my mobile device

seeker14
Solution attached

Hope this helps
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IMG_20181219_223028676.jpg [ 3.23 MiB | Viewed 331 times ]

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Joined: 03 Jan 2018
Posts: 13
Location: United States (CA)
Concentration: Sustainability, Operations
GPA: 3.5
WE: Operations (Non-Profit and Government)
Re: A boat travels due east for 3 kilometers, makes a right turn and heads  [#permalink]

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21 Dec 2018, 13:48
Don't forget the 3:4:5 rule.
Re: A boat travels due east for 3 kilometers, makes a right turn and heads   [#permalink] 21 Dec 2018, 13:48
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