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

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Math Expert
Joined: 02 Sep 2009
Posts: 64234
If two planes leave the same airport at 1:00 PM, how many miles apart  [#permalink]

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29 Jul 2019, 05:46
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15% (low)

Question Stats:

76% (00:52) correct 24% (01:11) wrong based on 76 sessions

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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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Re: If two planes leave the same airport at 1:00 PM, how many miles apart  [#permalink]

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29 Jul 2019, 07:44
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]

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29 Jul 2019, 08:09
1
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]

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06 Aug 2019, 16:59
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.

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Re: If two planes leave the same airport at 1:00 PM, how many miles apart   [#permalink] 06 Aug 2019, 16:59

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

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