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Paul is standing 180 yards due north of point P. Franny is standing 2

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Paul is standing 180 yards due north of point P. Franny is standing 2 [#permalink]

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New post 05 Feb 2018, 05:42
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Paul is standing 180 yards due north of point P. Franny is standing 240 yards due west of point P. What is the shortest distance between Franny and Paul?

(A) 60 yards

(B) 300 yards

(C) 420 yards

(D) 900 yards

(E) 9000 yards
[Reveal] Spoiler: OA

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Re: Paul is standing 180 yards due north of point P. Franny is standing 2 [#permalink]

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New post 05 Feb 2018, 08:12
Bunuel wrote:
Paul is standing 180 yards due north of point P. Franny is standing 240 yards due west of point P. What is the shortest distance between Franny and Paul?

(A) 60 yards

(B) 300 yards

(C) 420 yards

(D) 900 yards

(E) 9000 yards


Paul and Franny form the corners of 2 legs of a right triangle. So shortest distance between them is the length of hypotenuse.
180=60*3
240=60*4
So they form the 3-4-5 right triangle. length of hypotenuse =5*60=300 yards
Option B ?
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Re: Paul is standing 180 yards due north of point P. Franny is standing 2 [#permalink]

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New post 06 Feb 2018, 17:31
Bunuel wrote:
Paul is standing 180 yards due north of point P. Franny is standing 240 yards due west of point P. What is the shortest distance between Franny and Paul?

(A) 60 yards

(B) 300 yards

(C) 420 yards

(D) 900 yards

(E) 9000 yards


We see that Franny, Paul, and point P form a right triangle, and the shortest distance between Franny and Paul is the hypotenuse of the triangle.

We also see that 180 and 240 are two legs of a 3-4-5 right triangle since 3 x 60 = 180 and 4 x 60 = 240, so the hypotenuse is 5 x 60 = 300.

Answer: B
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Re: Paul is standing 180 yards due north of point P. Franny is standing 2   [#permalink] 06 Feb 2018, 17:31
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Paul is standing 180 yards due north of point P. Franny is standing 2

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