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Jasmine runs in the park every day. She runs at a constant pace around

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Math Expert
Joined: 02 Sep 2009
Posts: 56251
Jasmine runs in the park every day. She runs at a constant pace around  [#permalink]

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13 Sep 2016, 02:04
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Difficulty:

25% (medium)

Question Stats:

78% (02:00) correct 22% (02:06) wrong based on 128 sessions

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Jasmine runs in the park every day. She runs at a constant pace around the perimeter of a small flower patch. The patch has the shape of a triangle whose sides are 20, 20, and 10 meters long. Jasmine starts the jog from point A of the triangle, and runs in the direction of the arrow in the figure above. She completes her jog 50 seconds later, after running along 16 sides of the patch. At what speed does Jasmine run in meters per second?

A. 4.6
B. 4.8
C. 5.2
D. 5.4
E. 5.6

Attachment:

T7709.png [ 5.68 KiB | Viewed 2146 times ]

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Manager
Joined: 05 Jun 2015
Posts: 78
Location: United States
WE: Engineering (Transportation)
Re: Jasmine runs in the park every day. She runs at a constant pace around  [#permalink]

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13 Sep 2016, 03:37
To complete 16 sides of the patch, Jasmine has to run 5 times the perimeter of the triangle and cover additional side AB once.
total distance covered = $$5 * (20+20+10) + 20$$
= 270 m
time taken = 50 sec

speed = 270/50
= 5.4 m/s
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Joined: 06 Jun 2016
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Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
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Re: Jasmine runs in the park every day. She runs at a constant pace around  [#permalink]

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13 Sep 2016, 04:20
she runs 16 sides of the triangle. 3 sides corresponds to 50 mtrs. Now by running 5 times around the triangular park she covers 15 sides. For the 16th side we have to add 20 mtrs stretch to 5* 50 mtrs stretch she already covered. Total distance covered = 5* 50 + 1 *20= 270 mtrs in 50 seconds.
therefore her average speed = total distance/ total time = 270 mtrs / 50 sec = 5.4 m/s
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Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: Jasmine runs in the park every day. She runs at a constant pace around  [#permalink]

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18 Aug 2018, 20:06
Bunuel wrote:

Jasmine runs in the park every day. She runs at a constant pace around the perimeter of a small flower patch. The patch has the shape of a triangle whose sides are 20, 20, and 10 meters long. Jasmine starts the jog from point A of the triangle, and runs in the direction of the arrow in the figure above. She completes her jog 50 seconds later, after running along 16 sides of the patch. At what speed does Jasmine run in meters per second?

A. 4.6
B. 4.8
C. 5.2
D. 5.4
E. 5.6

Attachment:
T7709.png

Since the perimeter of the triangular patch is 20 + 10 + 20 = 50 meters and it has 3 sides, when Jasmine runs along 16 sides of the patch, she has run the perimeter of the patch 5 times and 1 more side, AB, which is 20 meters. Therefore, she has run 5 x 50 + 20 = 270 meters, and her speed is:

270/50 = 27/5 = 5.4 m/s

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Re: Jasmine runs in the park every day. She runs at a constant pace around   [#permalink] 18 Aug 2018, 20:06
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