During a workout at the gym, you set the treadmill at a pace of 56.1 m/min. How many minutes will you walk if you cover a distance of 9500 ft? Express your answer to two significant figures and include the appropriate units.
First, we need to convert the distance from feet to meters. There are 1 meter = 3.28084 feet. Therefore, 9500 ft = 9500 ft * (1 m / 3.28084 ft) = 2895.60 m.
Next, we can calculate the time it takes to walk this distance using the formula:
time = distance / speed.
Plugging in the values, we get:
time = 2895.60 m / 56.1 m/min.
Calculating this gives:
time ≈ 51.63 min.
Rounding to two significant figures gives:
time ≈ 52 min.
Therefore, you will walk for approximately 52 minutes.
To find the time it takes to walk a given distance, we can use the formula:
time = distance / speed
First, let's convert the given distance from feet to meters. Since 1 foot is equal to 0.3048 meters:
distance = 9500 ft * 0.3048 m/ft = 2895.6 m
Now we can plug in the values into the formula:
time = 2895.6 m / 56.1 m/min
Calculating the value:
time = 51.628 min
Rounding to two significant figures:
time ≈ 52 min
Therefore, you will walk for approximately 52 minutes.
To solve this problem, we need to convert the distance from feet to meters, and then use the pace to calculate the time.
1. Convert feet to meters:
- 1 foot = 0.3048 meters
- Multiply the distance in feet by the conversion factor: 9500 ft * 0.3048 = 2895.6 meters
2. Use the pace to calculate the time:
- Pace is given as 56.1 m/min
- Divide the distance in meters by the pace: 2895.6 meters / 56.1 m/min ≈ 51.61 minutes
Rounding to two significant figures, the answer is approximately 51 minutes.