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John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet = 1 mile? Express your answer as a decimal to the nearest thousandth.

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MrRoyal

Answer:

[tex]Speed = 1.875 miles/hour[/tex]

Step-by-step explanation:

Given

[tex]Speed = 33in/s[/tex]

Required

Convert to mile/hour

[tex]1\ inch = 1/63360\ mile[/tex]

[tex]1\sec = 1/3600\ hr[/tex]

So:

[tex]Speed = 33in/s[/tex]

[tex]Speed = \frac{33 * 1/63360}{1/3600}[/tex]

[tex]Speed = \frac{33/63360}{1/3600}[/tex]

[tex]Speed = \frac{33}{63360}/\frac{1}{3600}[/tex]

[tex]Speed = \frac{33}{63360} * \frac{3600}{1}[/tex]

[tex]Speed = \frac{33 * 3600}{63360}[/tex]

[tex]Speed = \frac{118800}{63360}[/tex]

[tex]Speed = 1.875 miles/hour[/tex]

Hence, John is working at 1875 miles per hour

Answer:

1.875 a hour

Step-by-step explanation:

It is this way because 33/12 is 2.75 so he is walking 2.75 feet a second

Multiply the second by 3600 and the 2.75 feet by 3600 and you get 9900

per hour divide 9900 by 5280 and you get 1.875

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