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

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Bunuel
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Fred is running along a circular track sweeping an angle of 54 degrees [#permalink] New post   30 Oct 2019, 02:54
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84% (01:58) correct 16% (02:14) wrong based on 76 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] New post   30 Oct 2019, 04:07
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24×54/360=36/10=18/5

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suchithra
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Fred is running along a circular track sweeping an angle of 54 degrees [#permalink] New post   30 Oct 2019, 04:47
In one minute, He finishes \(\frac{54}{360}\) of a lap

Thefore in 24 minutes, fred will finish \(24 * \frac{54}{360} = \frac{18}{5}\)
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Re: Fred is running along a circular track sweeping an angle of 54 degrees [#permalink] New post   31 Oct 2019, 05:29
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Solution


Given:
    • Fred is running along a circular track sweeping an angle of 54 degrees every minute

To find:
    • The number of laps he makes in 24 minutes

Approach and Working Out:
    • He can cover 540 degrees = 360 + 180, that is 1.5 laps in \(\frac{540}{54} = 10\) minutes
    • In 24 minutes, he can cover \(\frac{24 * 1.5}{10} = 3.6\) laps

Hence, the correct answer is Option A.

Answer: A
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Re: Fred is running along a circular track sweeping an angle of 54 degrees [#permalink] New post   01 Nov 2019, 20:00
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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



In 24 minutes, Fred runs (24 x 54)/360 = (24 x 6)/(40) = (3 x 6)/5 = 18/5 laps.

Answer: A
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Re: Fred is running along a circular track sweeping an angle of 54 degrees [#permalink] New post   31 Mar 2020, 12:15
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


Given: Fred is running along a circular track sweeping an angle of 54 degrees every minute.

Asked: How many laps does he make in 24 minutes?

1 lap = 360 degrees
54 degrees / min = 54/360 = 3/20 laps/min

In 24 min, laps = (3/20) * 24 = 18/5 laps

IMO A
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Re: Fred is running along a circular track sweeping an angle of 54 degrees [#permalink]
31 Mar 2020, 12:15
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