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10 Jan 2016, 08:57
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C
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Difficulty:
95%
(hard)
Question Stats:
46% (02:51) correct
54%
(02:29)
wrong
based on 102
sessions
History
Date
Time
Result
Not Attempted Yet
Two airplanes take off from one airfield at noon. One flies due east at 200 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
A. 166
B. 332
C. 400
D. 483
E. 566
A. 166
B. 332
C. 400
D. 483
E. 566
Praveengeol
Joined: 02 Jun 2015
Last visit: 14 Nov 2017
Posts: 55
Own Kudos:
Given Kudos: 27
Location: United States
Concentration: Strategy, Human Resources
Schools: Schulich Sept"18 (A)
WE:Engineering (Manufacturing)
10 Jan 2016, 09:48
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Bunuel
Answer C
It forms a right angled triangle. Applying Pythogorean theorem,
566^2 = 400^2 + P^2
566^2-400^2 = P^2
(566+400)(566-400) = P^2
\sqrt{(966*166)} = P
Approximating
\sqrt{(1000*160)}=P
P= 400
10 Jan 2016, 13:45
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Another way to solve this is problem, is to find a relation/pattern between these speeds. GMAT does not expect you to calculate the squares, and roots. So lets assume 200 Km/hr as 1 unit. Thus 283 = 283/200 = 1.415 = Square root of 2. There we have it.
So, it's a right-angled triangle with sides 1 unit, Square root of 2 - thus the third side will be "1 Unit".
Distance travelled in 2 hrs by the plane traveling due east = 200*2 = 400 which will be equal to distance between 2 planes.
So, it's a right-angled triangle with sides 1 unit, Square root of 2 - thus the third side will be "1 Unit".
Distance travelled in 2 hrs by the plane traveling due east = 200*2 = 400 which will be equal to distance between 2 planes.
