marathon runner passes the one-mile marker of the race with a clocked speed of 18 feet/second. If a marathon is 26.2 miles in length and this speed is maintained for the entire race, what will be the runner's total time? Be sure to provide your answer in hours, minutes, and seconds.

To determine the total time it will take for the marathon runner to complete the race, we can break the problem into a few steps:

### Step 1: Convert the marathon distance to feet
The marathon distance is given in miles (26.2 miles). Since the runner's speed is in feet per second, we first need to convert miles to feet.

\[
1 \text{ mile} = 5280 \text{ feet}
\]

\[
26.2 \text{ miles} = 26.2 \times 5280 = 138,336 \text{ feet}
\]

### Step 2: Calculate the total time in seconds
The runner's speed is 18 feet per second, and the total distance is 138,336 feet. To find the total time in seconds, we divide the total distance by the speed:

\[
\text{Time in seconds} = \frac{\text{Total distance in feet}}{\text{Speed in feet per second}} = \frac{138,336}{18} = 7,685.33 \text{ seconds}
\]

### Step 3: Convert the total time to hours, minutes, and seconds
To convert the total time from seconds to hours, minutes, and seconds:

1. Convert seconds to hours:

\[
\text{Hours} = \frac{7,685.33}{3600} = 2.1359 \text{ hours}
\]

So, the runner will take 2 full hours. The remainder will be in minutes and seconds.

2. Convert the remaining decimal (0.1359 hours) to minutes:

\[
0.1359 \text{ hours} \times 60 = 8.154 \text{ minutes}
\]

So, the runner will take 8 full minutes, and the remainder will be in seconds.

3. Convert the remaining decimal (0.154 minutes) to seconds:

\[
0.154 \text{ minutes} \times 60 = 9.24 \text{ seconds}
\]

### Final Result:
The total time for the runner to complete the marathon will be approximately:

\[
2 \text{ hours}, 8 \text{ minutes}, 9 \text{ seconds}
\]

Would you like more details or have any further questions?

### Related Questions:
1. How would the time change if the runner’s speed increased by 2 feet per second?
2. What is the average speed in miles per hour based on this runner’s performance?
3. If the runner slows down halfway through the race to 16 feet per second, what will the total time be?
4. How many seconds per mile does the runner take at this speed?
5. What percentage of the marathon is completed after the first hour?

### Tip:
To easily convert units like speed and time, always keep track of the units at each step to avoid mistakes.

A marathon runner passes the one-mile marker of the race with a clocked speed of 18 feet/second. If a marathon is 26.2 miles in length and this speed is maintained for the entire race, what will be the runner's total time? Be sure to provide your answer in hours, minutes, and seconds.

Learn how to calculate the total time it takes for a marathon runner maintaining a speed of 18 feet per second to complete a 26.2-mile race. This detailed explanation involves distance-speed-time relationships and unit conversions, suitable for high school students in Grades 9-12.

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