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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Two boats leave the same dock at the same time, one travelin
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23 Mar 2020, 00:25
23 Mar 2020, 00:25
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Two boats leave the same dock at the same time, one traveling due east at 10 miles per hour and the other due north at 24 miles per hour. How many miles apart are the boats after 3 hours?
(A) 68
(B) 72
(C) 78
(D) 98
(E) 110
(A) 68
(B) 72
(C) 78
(D) 98
(E) 110
Retired Moderator
Joined: 16 Apr 2020
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Affiliations: Prepster Education
Posts: 1546
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WE:Education (Education)
Two boats leave the same dock at the same time, one travelin
[#permalink]
12 Feb 2021, 07:01
12 Feb 2021, 07:01
1
Let the speed of boat A = 24 and boat of speed B = 10
Distance travelled by both the boats in 3 hours;
A = 3 x 24 = 72
B = 3 x 10 = 30
Since, A travelled North and B travelled in East direction, we will have a Right triangle with one side 72 and other as 30.
Apply Pythagoras Theorem to find the hypotenuse;
\(H^2\) = \(72^2\) + \(30^2\) = 5184 + 900 = 6084
H = \(\sqrt{6084}\) = 78
Hence, option C
Distance travelled by both the boats in 3 hours;
A = 3 x 24 = 72
B = 3 x 10 = 30
Since, A travelled North and B travelled in East direction, we will have a Right triangle with one side 72 and other as 30.
Apply Pythagoras Theorem to find the hypotenuse;
\(H^2\) = \(72^2\) + \(30^2\) = 5184 + 900 = 6084
H = \(\sqrt{6084}\) = 78
Hence, option C
gmatclubot
Two boats leave the same dock at the same time, one travelin [#permalink]
12 Feb 2021, 07:01
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