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?

Question

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: \[ \boxed{45.3 \text{ feet per second}} \]