A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

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Answer:

[tex]Distance = 880ft[/tex]

Step-by-step explanation:

Given

[tex]Speed = 20\frac{miles}{hour}[/tex]

[tex]Time = 30\ seconds[/tex]

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Distance the subject

[tex]Distance = Speed * Time[/tex]

[tex]Distance = 20 miles/hour * 30 seconds[/tex]

Convert seconds to hour

[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]

[tex]Distance = 20 miles * \frac{30}{3600}[/tex]

[tex]Distance = \frac{20 miles * 30}{3600}[/tex]

[tex]Distance = \frac{600\ miles}{3600}[/tex]

[tex]Distance = \frac{1}{6} miles[/tex]

Convert to foot

[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]

[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]

[tex]Distance = \frac{5280\ ft}{6}[/tex]

[tex]Distance = 880ft[/tex]

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