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A circular jogging track forms the edge of a circular lake that has a

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A circular jogging track forms the edge of a circular lake that has a [#permalink]

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New post 18 Oct 2015, 09:41
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A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?

A. 0.5< t < 0.75
B. 1.75< t < 2.0
C. 2.0 < t < 2.5
D. 2.5 < t < 3.0
E. 3 < t < 3.5
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Oct 2015, 09:49, edited 2 times in total.
Renamed the topic and edited the question.

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Re: A circular jogging track forms the edge of a circular lake that has a [#permalink]

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New post 18 Oct 2015, 10:11
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Diameter =2
Radius = 1
Circumference = 2 pi * 1 = 2 pi
Speed = 3 miles/ hour
Time , t= Distance / Speed
t = 2 pi / 3 = 2* 3.14 / 3 = 2* 1.05 = 2.10 approx
2.0< t < 2.5
Answer C
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Re: A circular jogging track forms the edge of a circular lake that has a [#permalink]

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New post 18 Oct 2015, 13:19
D=2, and R=1
circumference thus is 2pi miles
we know that she walked 3mph
knowing the formula rt=D, we can deduce that t= D/r
D is 2pi miles and r is 3mph
t = 2pi/3
pi can be rewritten as 22/7
2*22/7 = 44/7 and multiply this by 1/3 = 44/21. This is greater than 2, but less than 2.5, therefore, 2<t<2.5. Answer choice C.

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Re: A circular jogging track forms the edge of a circular lake that has a [#permalink]

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A circular jogging track forms the edge of a circular lake that has a [#permalink]

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New post 09 Sep 2017, 07:12
novice12 wrote:
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?

A. 0.5< t < 0.75
B. 1.75< t < 2.0
C. 2.0 < t < 2.5
D. 2.5 < t < 3.0
E. 3 < t < 3.5

Diameter of circular lake \(= 2\) miles

Diameter \(= 2r\) ------- (\(r\) is the radius of circular lake)

Circumference of circular lake \(= 2\pi\)\(r\) \(= 2\pi\)

Average speed \(= 3\) miles/hour

\(Time (t)= \frac{distance}{speed} = \frac{Circumference}{speed} = \frac{2\pi}{3}\) ---------- (we can approximate value of \(\pi\) to \(3.1\))

Time \((t) = \frac{2*3.1}{3} = \frac{6.2}{3} = 2.0666\)

\(2.0666\) comes between \(2.0\) and \(2.5\). Therefore \(2.0 < t < 2.5\)

Answer (C)...

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A circular jogging track forms the edge of a circular lake that has a   [#permalink] 09 Sep 2017, 07:12
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