A cyclist rides his bike at a rate of 15 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.

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Answer:

15 miles/hour = 0.25 miles/minute

The cyclist would have traveled 5 miles in 20 minutes.

Step-by-step explanation:

15 miles per hour is written as

15 miles/hour

To convert 15 miles/hour to miles/minute

From 1 hour = 60 minutes

∴ 15 miles/hour = 15 miles/ 60 minutes

= (15/60) miles/minute

= 0.25 miles/minute

To calculate how many miles the cyclist will travel in 20 minutes

That is, Time, t = 20 minutes

Velocity, v = 15 miles/hour = 0.25 miles/minute

Distance, s = ??

From,

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

∴[tex]Distance = Velocity[/tex] × [tex]Time[/tex]

[tex]Distance = 0.25 miles/minute[/tex] × [tex]20 minutes[/tex]

[tex]Distance = 5 miles[/tex]

Hence, The cyclist would have traveled 5 miles in 20 minutes.