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# Fred is running along a circular track sweeping an angle of 54 degrees

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Math Expert
Joined: 02 Sep 2009
Posts: 53065
Fred is running along a circular track sweeping an angle of 54 degrees  [#permalink]

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04 Sep 2018, 23:27
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:58) correct 14% (01:50) wrong based on 17 sessions

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Fred is running along a circular track sweeping an angle of 54 degrees every minute. How many laps does he make in 24 minutes?

A. 18/5

B. 40/9

C. 49/9

D. 29/5

E. 27/4

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Re: Fred is running along a circular track sweeping an angle of 54 degrees  [#permalink]

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04 Sep 2018, 23:57
Bunuel wrote:
Fred is running along a circular track sweeping an angle of 54 degrees every minute. How many laps does he make in 24 minutes?

A. 18/5

B. 40/9

C. 49/9

D. 29/5

E. 27/4

Since Fred is running along the circular track and sweeps 54 degrees
in a minute, in 24 minutes Fred will sweep a total of 54 * 24 degrees.

We know that one lap of a circular ground is exactly 360 degree.

Therefore, Fred will do $$\frac{54 * 24}{360} = \frac{18}{5}$$laps (Option A) in 24 minutes.
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Re: Fred is running along a circular track sweeping an angle of 54 degrees   [#permalink] 04 Sep 2018, 23:57
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# Fred is running along a circular track sweeping an angle of 54 degrees

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