Question

Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

1 mile = 5,280 feet

19.8 feet per second
19.84 feet per second
45.3 feet per second
45.36 feet per second

Answer 1

To determine Tyrone's speed in feet per second, we first need to convert the distance from miles to feet and the time from minutes to seconds.

1. **Convert miles to feet:**
\[
30 \text{ miles} = 30 \times 5280 \text{ feet} = 158400 \text{ feet}
\]

2. **Convert time from minutes to seconds:**
\[
58.2 \text{ minutes} = 58.2 \times 60 \text{ seconds} = 3492 \text{ seconds}
\]

3. **Calculate the speed in feet per second (fps):**
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{158400 \text{ feet}}{3492 \text{ seconds}} \approx 45.297 \text{ feet per second}
\]

4. **Rounding to two decimal places, we have:**
\[
45.297 \text{ feet per second} \approx 45.30 \text{ feet per second}
\]

Now, looking at the options presented:
- 19.8 feet per second
- 19.84 feet per second
- 45.3 feet per second
- 45.36 feet per second

The closest value to our calculated speed of approximately 45.30 feet per second is **45.3 feet per second**.

Therefore, the most accurate determination for the number of feet per second that Tyrone traveled is:
\[
\boxed{45.3 \text{ feet per second}}
\]