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# Evan trains for running on a circular path with a radius of 5/6

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Math Expert
Joined: 02 Sep 2009
Posts: 58400
Evan trains for running on a circular path with a radius of 5/6  [#permalink]

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11 Oct 2018, 02:46
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:24) correct 16% (01:15) wrong based on 49 sessions

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Evan trains for running on a circular path with a radius of $$\frac{5}{6\pi}$$ km. If Evan starts at one point and runs continuously in one direction for a total of 5 km, how many times does Evan complete a full lap around the entire circle?

A. 2

B. 3

C. 4

D. 5

E. 6

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Re: Evan trains for running on a circular path with a radius of 5/6  [#permalink]

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11 Oct 2018, 02:56
Bunuel wrote:
Evan trains for running on a circular path with a radius of $$\frac{5}{6\pi}$$. If Evan starts at one point and runs continuously in one direction for a total of 5 km, how many times does Evan complete a full lap around the entire circle?

A. 2

B. 3

C. 4

D. 5

E. 6

Bunuel, what's the unit of the radius? meters?
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Re: Evan trains for running on a circular path with a radius of 5/6  [#permalink]

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11 Oct 2018, 03:09
Given r=5/6π
Distance covered in one complete circle=circumference=2πr=2*π*5/6π =5/3 km
Since,5/3 km= 1 lap
Therefore,5 km= 3 lap
Math Expert
Joined: 02 Sep 2009
Posts: 58400
Re: Evan trains for running on a circular path with a radius of 5/6  [#permalink]

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11 Oct 2018, 03:17
Afc0892 wrote:
Bunuel wrote:
Evan trains for running on a circular path with a radius of $$\frac{5}{6\pi}$$. If Evan starts at one point and runs continuously in one direction for a total of 5 km, how many times does Evan complete a full lap around the entire circle?

A. 2

B. 3

C. 4

D. 5

E. 6

Bunuel, what's the unit of the radius? meters?

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Kilometres. Edited.
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Re: Evan trains for running on a circular path with a radius of 5/6  [#permalink]

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13 Oct 2018, 18:47
Bunuel wrote:
Evan trains for running on a circular path with a radius of $$\frac{5}{6\pi}$$ km. If Evan starts at one point and runs continuously in one direction for a total of 5 km, how many times does Evan complete a full lap around the entire circle?

A. 2

B. 3

C. 4

D. 5

E. 6

The circumference of the path is 5/6π x 2π = 10/6 = 5/3 km.

So the number of laps completed after 5 km is 5/(5/3) = 15/5 = 3.

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Re: Evan trains for running on a circular path with a radius of 5/6   [#permalink] 13 Oct 2018, 18:47
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