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An airplane was due north of a tropical island when

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by BTGmoderatorDC » Sun Jul 22, 2018 2:23 am

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An airplane was due north of a tropical island when hurricane warning arrived at noon. In what direction was the tropical island from the position of the airplane at 3 pm?

(1) To circumvent the path of the hurricane, the airplane flew due west at 200 miles per hour from noon till 2 pm, and from 2 pm until 3 pm, it flew due south at 300 miles per hour.

(2) At 3 pm, the airplane was exactly 450 miles from the tropical island.
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Source: — Data Sufficiency |

by GMATGuruNY » Sun Jul 22, 2018 3:06 am
BTGmoderatorDC wrote:An airplane was due north of a tropical island when hurricane warning arrived at noon. In what direction was the tropical island from the position of the airplane at 3 pm?

(1) To circumvent the path of the hurricane, the airplane flew due west at 200 miles per hour from noon till 2 pm, and from 2 pm until 3 pm, it flew due south at 300 miles per hour.

(2) At 3 pm, the airplane was exactly 450 miles from the tropical island.
Statements combined:
Image
The dotted green line indicates the plane's position at 12pm.
The blue right triangle indicates the plane's position at 3pm.
The two dotted red lines show positions for the island that are 450 miles from the plane's position at 3pm.
Since the island can be in different positions, the two statements combined are INSUFFICIENT.

The correct answer is E.
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