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# If Sam is running on a circular track of radius 25 meters, with a spee

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If Sam is running on a circular track of radius 25 meters, with a spee  [#permalink]

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02 Sep 2018, 21:05
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Difficulty:

15% (low)

Question Stats:

80% (01:17) correct 20% (01:44) wrong based on 76 sessions

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If Sam is running on a circular track of radius 25 meters, with a speed of 5 meters per second, how long will it take him to run 1.6 laps?

A. $$6\pi$$

B. $$8\pi$$

C. $$16\pi$$

D. $$25\pi$$

E. $$80\pi$$

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Re: If Sam is running on a circular track of radius 25 meters, with a spee  [#permalink]

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02 Sep 2018, 23:35
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Bunuel wrote:
If Sam is running on a circular track of radius 25 meters, with a speed of 5 meters per second, how long will it take him to run 1.6 laps?

A. $$6\pi$$

B. $$8\pi$$

C. $$16\pi$$

D. $$25\pi$$

E. $$80\pi$$
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If Sam is running on a circular track of radius 25 meters, with a spee  [#permalink]

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03 Sep 2018, 00:22
Bunuel wrote:
If Sam is running on a circular track of radius 25 meters, with a speed of 5 meters per second, how long will it take him to run 1.6 laps?

A. $$6\pi$$

B. $$8\pi$$

C. $$16\pi$$

D. $$25\pi$$

E. $$80\pi$$

distance = 1.6 ( circumfrence ) = 1.6(2*pi*25) = $$80\pi$$
time = $$80\pi$$ /5 = $$16\pi$$
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Re: If Sam is running on a circular track of radius 25 meters, with a spee  [#permalink]

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11 Sep 2018, 16:15
Bunuel wrote:
If Sam is running on a circular track of radius 25 meters, with a speed of 5 meters per second, how long will it take him to run 1.6 laps?

A. $$6\pi$$

B. $$8\pi$$

C. $$16\pi$$

D. $$25\pi$$

E. $$80\pi$$

The circumference of the track is 50π, so 1.6 laps is 1.6 x 50π = 80π.

We’ll use the formula distance/rate = time to calculate the time it will take him to run 1.6 laps. Thus, it will take him 80π/5 = 16π seconds.

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Re: If Sam is running on a circular track of radius 25 meters, with a spee   [#permalink] 11 Sep 2018, 16:15
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