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If two planes leave the same airport at 1:00 PM, how many miles apart

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Bunuel
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If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink] New post   29 Jul 2019, 06:46
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If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
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C
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HARRY113
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Re: If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink] New post   29 Jul 2019, 08:44
IMO C.

sqrt( (400)^2 + (300)^2 )
= sqrt ( 250000)
= 500
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Re: If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink] New post   29 Jul 2019, 09:09
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Bunuel wrote:
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles


300 miles North and 400 miles west basically forms a right angled triangle with sides 3 and 4. So the third side will be 5. which is 500 miles. (3,4,5 Triplet)
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Re: If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink] New post   06 Aug 2019, 17:59
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Bunuel wrote:
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles


The paths of the planes create right triangle, with the distance between them equaling the hypotenuse of the triangle.

The distance of the first plane from the airport at 3:00 PM (2 hours after departure) is 2 x 150 = 300.

The distance of the second plane from the airport at 3:00 PM (2 hours after departure) is 2 x 200 = 400.

Thus, the distance between the two planes is 500, since we have a 300-400-500 right triangle.

Answer: C
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Re: If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink] New post   04 Nov 2023, 10:54
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Re: If two planes leave the same airport at 1:00 PM, how many miles apart [#permalink]
04 Nov 2023, 10:54
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