Math Problem Statement

Give each rate in miles per hour. Round to the nearest 10th. John joggs 20 feet and three seconds.

Solution

To find John's jogging rate in miles per hour, we can break the process into steps:

1. Convert feet to miles:

There are 5280 feet in a mile, so:

Distance in miles=20feet5280=0.003788miles\text{Distance in miles} = \frac{20 \, \text{feet}}{5280} = 0.003788 \, \text{miles}

2. Convert seconds to hours:

There are 3600 seconds in an hour, so:

Time in hours=3seconds3600=0.000833hours\text{Time in hours} = \frac{3 \, \text{seconds}}{3600} = 0.000833 \, \text{hours}

3. Calculate the rate in miles per hour:

The speed in miles per hour (mph) is given by dividing the distance by the time:

Speed=0.003788miles0.000833hours4.5miles per hour\text{Speed} = \frac{0.003788 \, \text{miles}}{0.000833 \, \text{hours}} \approx 4.5 \, \text{miles per hour}

Final Answer:

John is jogging at 4.5 miles per hour.

Would you like further details on how this was calculated or have any other questions?

Here are five related questions to expand on this:

  1. How would John's speed change if he jogged 30 feet in 4 seconds?
  2. What is the equivalent speed in kilometers per hour (km/h)?
  3. If John jogged for an hour at this rate, how far would he go in miles?
  4. How does John's speed compare to average jogging speeds?
  5. How would the calculation change if time was given in minutes instead of seconds?

Tip: When converting units, always ensure to use consistent units (miles with hours, feet with seconds, etc.) to get accurate results.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Rate Calculation
Distance and Time

Formulas

Distance in miles = feet / 5280
Time in hours = seconds / 3600
Speed = Distance / Time

Theorems

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Suitable Grade Level

Grades 6-8